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  • 1
    Electronic Resource
    Electronic Resource
    Subunit interactions and ligand binding in supernatant malic dehydrogenase. Cooperative binding of reduced nicotinamide adenine dinucleotide associated with a monomer-dimer equilibrium of the protein (1972)
    s.l. : American Chemical Society
    Biochemistry 11 (1972), S. 4937-4944 
    Details
    ISSN: 1520-4995
    Source: ACS Legacy Archives
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/bi00776a010
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  • 2
    Electronic Resource
    Electronic Resource
    On the composition factors of Kac modules for the Lie superalgebras sl(m/n) (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 470-491 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In the classification of finite-dimensional modules of Lie superalgebras, Kac distinguished between typical and atypical modules. Kac introduced an induced module, the so-called Kac module V¯(Λ) with highest weight Λ, which was shown to be simple if Λ is a typical highest weight. If Λ is an atypical highest weight, the Kac module is indecomposable and the simple module V(Λ) can be identified with a quotient module of V¯(Λ). In the present paper the problem of determining the composition factors of the Kac modules for the Lie superalgebra sl(m/n) is considered. An algorithm is given to determine all these composition factors, and conversely, an algorithm is given to determine all the Kac modules containing a given simple module as a composition factor. The two algorithms are presented in the form of conjectures, and illustrated by means of detailed examples. Strong evidence in support of the conjectures is provided. The combinatorial way in which the two algorithms are intertwined is both surprising and interesting, and is a convincing argument in favor of the solution to the composition factor problem presented here.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529782
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  • 3
    Electronic Resource
    Electronic Resource
    Character formulas for irreducible modules of the Lie superalgebras sl(m/n) (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 2278-2304 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Kac distinguished between typical and atypical finite-dimensional irreducible representations of the Lie superalgebras sl(m/n) and provided an explicit character formula appropriate to all the typical representations. Here, the range of validity of some character formulas for atypical representations that have been proposed are discussed. Several of them are of the Kac–Weyl type, but then it is proved that all formulas of this type fail to correctly give the character of one particular atypical representation of sl(3/4). Having ruled out, therefore, all such formulas, a completely new extension of the Kac–Weyl character formula is proposed. The validity of this formula in the case of all covariant tensor irreducible representations is proved, and some evidence in support of the conjecture that it covers all irreducible representations of sl(m/n) is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528637
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  • 4
    Electronic Resource
    Electronic Resource
    Analogies between finite-dimensional irreducible representations of SO(2n) and infinite-dimensional irreducible representations of Sp(2n,R). II. Plethysms (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 5656-5690 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The basic spin difference character Δ″ of SO(2n) is a useful device in dealing with characters of irreducible spinor representations of SO(2n). It is shown here that its kth-fold symmetrized powers, or plethysms, associated with partitions κ of k factorize in such a way that Δ″⊗{κ}=(Δ″)r(κ)Πκ, where r(κ) is the Frobenius rank of κ. The analogy between SO(2n) and Sp(2n,R) is shown to be such that the plethysms of the basic harmonic or metaplectic character Δ˜ of Sp(2n,R) factorize in the same way to give Δ˜⊗{κ}=(Δ˜)r(κ)Π˜κ. Moreover, the analogy is shown to extend to the explicit decompositions into characters of irreducible representations of SO(2n) and Sp(2n,R) not only for the plethysms themselves, but also for their factors Πκ and Π˜κ. Explicit formulas are derived for each of these decompositions, expressed in terms of various group–subgroup branching rule multiplicities, particularly those defined by the restriction from O(k) to the symmetric group Sk. Illustrative examples are included, as well as an extension to the symmetrized powers of certain basic tensor difference characters of both SO(2n) and Sp(2n,R). © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533431
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  • 5
    Electronic Resource
    Electronic Resource
    Analogies between finite-dimensional irreducible representations of SO(2n) and infinite-dimensional irreducible representations of Sp(2n,R). I. Characters and products (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 5002-5019 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The analogy between the finite-dimensional spin representation Δ of SO(2n) and the infinite-dimensional representation Δ˜ of Sp(2n,R) is made precise. It is then shown that this analogy can be extended so as to provide a precise link between each finite dimensional unitary irreducible representation of SO(2n) and a corresponding infinite-dimensional unitary irreducible representation of Sp(2n,R). The analogy shows itself at the level of the corresponding characters and difference characters, and involves the use of Schur function methods to express both characters and difference characters of SO(2n) and Sp(2n,R) in terms of characters of irreducible representations of their common subgroup U(n). The analogy is extended still further to cover the explicit decomposition of not only tensor products of Δ and Δ˜ with other unitary irreducible representations of SO(2n) and Sp(2n,R), respectively, but also arbitrary tensor powers of Δ and Δ˜. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533389
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  • 6
    Electronic Resource
    Electronic Resource
    Representations and traces of the Hecke algebras Hn(q) of type An−1 (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 4-14 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The notion of the connectivity class of minimal words in the algebra Hn(q) is introduced and a method of explicitly constructing irreducible representation matrices is described and implemented. Guided by these results, the connection between the Ocneanu trace on Hn(q) and Schur functions is exploited to derive a very simple prescription for calculating the irreducible characters of Hn(q). They appear as the elements of the transition matrix relating certain generalized power sum symmetric functions to Schur functions. Their evaluation involves the use of the Littlewood–Richardson rule, which is proved to apply to Hn(q) just as it does to Sn. Both representation matrices and characters are tabulated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529925
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  • 7
    Electronic Resource
    Electronic Resource
    Cytophotometric evidence for the transformation of oocytes into nurse cells inDrosophila melanogaster (1985)
    Springer
    Histochemistry and cell biology 82 (1985), S. 131-134 
    Details
    ISSN: 1432-119X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary A small proportion of ovarian chambers from females homozygous for theotu 7 (forovariantumor) mutation contain an “oocyte” that in its nuclear morphology resembles a nurse cell. Such transformed oocytes also appear in colchicine-poisoned wild type ovaries. Cytophotometric estimates demonstrate that these oocytes have undergone 3–4 additional DNA replications, but that they lag behind the adjacent nurse cells by an average of 1.3 replication cycles. It follows that, under certain circumstances, the definitive oocyte can switch to the nurse cell developmental pathway and therefore that a mechanism normally exists for preventing the further replication of its DNA. In the case ofotu 7, oocytes sometimes restart their endocyclic DNA replications and produce paired, polytene, homologous chromosomes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00708196
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  • 8
    Electronic Resource
    Electronic Resource
    Cytophotometric studies on cells from the ovaries of otu mutants of Drosophila melanogaster (1984)
    Springer
    Histochemistry and cell biology 81 (1984), S. 105-110 
    Details
    ISSN: 1432-119X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Amounts of chromosomal DNA were estimated for Feulgen-stained, ovarian cells from flies carrying certain mutant alleles of the otu (ovarian tumor) gene. Epithelial sheath cells and lumen cells were found to contain the diploid (2C) amount of DNA and therefore served as internal, cytophotometric standards. Mitotically active follicle cells over young tumors-from homozygous otu 1 females contained either the 2C or 4C amounts of DNA; whereas, the tumor cell population contained 2C, 4C and 8C nuclei and many intermediate values. Egg chambers also occur in homozygous otu 7 females. Follicle cells above these oocytes undergo a maximum of four cycles of endomitotic DNA replication. The accompanying nurse cells (PNC) contain polytene chromosomes. These undergo a maximum of 12 endonuclear replication cycles. The PNCs show the expected levels of DNA for the first 6 cycles and the fraction failing to replicate during subsequent cycles may be as small as 10%. Lower than expected levels of DNA were detected in PNCs from an otu 1/otu 3 ovary, reflecting roughly 20% underreplication. The latter PNCs may have been interrupted before DNA synthesis was concluded. No simple model of genomic underreplication accounts for the several different patterns of DNA behavior observed for various otu mutants.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00490101
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  • 9
    Electronic Resource
    Electronic Resource
    The cytology of the vitellogenic stages of oogenesis in Drosophila melanogaster. I. General staging characteristics (1969)
    New York, NY : Wiley-Blackwell
    Journal of Morphology 128 (1969), S. 427-441 
    Details
    ISSN: 0362-2525
    Keywords: Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: The cytology of the vitellogenic stages in the development of the oocyte of Drosophila melanogaster has been studied using whole mounts and sections of plastic-embedded ovaries and single egg chambers for light microscopy and cytochemistry. The migrations, changes in morphology, and synthetic products of the follicle cells are described as a function of developmental stage. The follicle cells synthesize the egg coverings, the vitelline and chorionic membranes, and elaborate the micropyle and dorsal chorionic appendages. The changing structure of the nurse cell nucleus and changes in organelle composition of its cytoplasm are described. The nurse cells synthesize ribosomes, lipid droplets, and mitochondria. These components pass through the ring canal system into the oocyte, which increases in volume some 200,000 times during its 78 hours of development.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jmor.1051280404
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  • 10
    Electronic Resource
    Electronic Resource
    The cytology of the vitellogenic stages of oogenesis in Drosophila melanogaster. II. Ultrastructural investigations on the origin of protein yolk spheres (1970)
    New York, NY : Wiley-Blackwell
    Journal of Morphology 130 (1970), S. 467-478 
    Details
    ISSN: 0362-2525
    Keywords: Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: The cytology of the vitellogenic stages in the development of the oocyte of Drosophila melanogaster is described following an electron microscopic study of sections of plastic-embedded ovaries and single egg chambers. One of the first morphological manifestations of yolk deposition is an infolding of the plasma membrane of the oocyte and the abscission of membranous tubules and vesicles. The protein (alpha) yolk spheres originate along the oocyte periphery from membranous sacs to which are attached membranous tubules. It is assumed that the majority of the protein within the alpha sphere is synthesized by neighboring tubular, rough surfaced endoplasmic reticulum. The other organelles in the ooplasm are described, and their origin and possible roles in vitellogenesis are examined. The relative importance of intra- and extra-ovarian synthesis of yolk protein in different insect species is discussed.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jmor.1051300406
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