ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • Articles  (12)
  • 81R10  (12)
  • 2005-2009
  • 1990-1994  (12)
  • 1994  (12)
  • Mathematics  (12)
  • Energy, Environment Protection, Nuclear Power Engineering
Collection
  • Articles  (12)
Source
Keywords
Publisher
Years
  • 2005-2009
  • 1990-1994  (12)
Year
Topic
  • Mathematics  (12)
  • Energy, Environment Protection, Nuclear Power Engineering
  • Physics  (12)
  • 1
    Electronic Resource
    Electronic Resource
    Extended non-abelian gauge symmetries in the classical WZNW model (1994)
    Springer
    Letters in mathematical physics 32 (1994), S. 283-297 
    Details
    ISSN: 1573-0530
    Keywords: 81T40 ; 81R10 ; 70H33 ; 17B65
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Higher spin extensions of the non-Abelian gauge symmetries for the classical WZNW model are considered. Both linear and nonlinear realizations of the extended affine Kac-Moody algebra are obtained. It is a characteristic property of the WZNW model that it admits a higher spin linear realization of the extended affine Kac-Moody algebra which is equivalent to the corresponding higher spin nonlinear realization of the same algebra. However, in both cases, the higher spin Noether currents do not span an invariant space with respect to their generating transformations. Here, the current space is extended to an invariant space which allows us to gauge the symmetry.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761139
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Heisenberg realization for U q (sl n ) on the flag manifold (1994)
    Springer
    Letters in mathematical physics 30 (1994), S. 35-43 
    Details
    ISSN: 1573-0530
    Keywords: 17B37 ; 16S32 ; 81R10 ; 33D80
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We give the Heisenberg realization for the quantum algebra U q (sl n ), which is written by theq-difference operator on the flag manifold. We construct it from the action of U q (sl n ) on theq-symmetric algebraA q (Mat n ) by the Borel-Weil-like approach. Our realization is applicable to the construction of the free field realization for U q $$(\widehat{s1_n })$$ [2].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761420
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Gelfand-Tsetlin basis for representations of Yangians (1994)
    Springer
    Letters in mathematical physics 30 (1994), S. 53-60 
    Details
    ISSN: 1573-0530
    Keywords: 17B35 ; 81R10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We construct an analog of the Gelfand-Tsetlin basis in the finite-dimensional irreducible representations of Yangians and find the matrix elements of the Drinfeld generators in this basis. As a special case of this construction, we obtain the well-known Gelfand-Tsetlin basis in the representations of the Lie algebra gl(N).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761422
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    The blob algebra and the periodic Temperley-Lieb algebra (1994)
    Springer
    Letters in mathematical physics 30 (1994), S. 189-206 
    Details
    ISSN: 1573-0530
    Keywords: 16D90 ; 81R05 ; 81R10 ; 82B20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We determine the structure of two variations on the Temperley-Lieb algebra, both used for dealing with special kinds of boundary conditions in statistical mechanics models. The first is a new algebra, the ‘blob’ algebra. We determine both the generic and all the exceptional structures for this two parameter algebra. The second is the periodic Temperley-Lieb algebra. The generic structure and part of the exceptional structure of this algebra have already been studied. We complete the analysis using results from the study of the blob algebra.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00805852
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Quantized affine Lie algebras and diagonalization of braid generators (1994)
    Springer
    Letters in mathematical physics 30 (1994), S. 267-277 
    Details
    ISSN: 1573-0530
    Keywords: 81R10 ; 17B37 ; 16W30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Let U q $$(\hat{\mathcal{G}})$$ be a quantized affine Lie algebra. It is proven that the universal R-matrix R of U q $$(\hat{\mathcal{G}})$$ satisfies the celebrated conjugation relationR + =TR withT the usual twist map. As applications, the braid generator is shown to be diagonalizable on arbitrary tensor product modules of integrable irreducible highest weight U q $$(\hat{\mathcal{G}})$$ -module and a spectral decomposition formula for the braid generator is obtained which is the generalization of Reshetikhin and Gould forms to the present affine case. Casimir invariants are constructed and their eigenvalues computed by means of the spectral decomposition formula. As a by-product, an interesting identity is found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00751063
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Casimir invariants for quantized affine Lie algebras (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 77-83 
    Details
    ISSN: 1573-0530
    Keywords: 81R10 ; 17B37 ; 16W30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest-weight representation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00751173
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    On the classical origin of the fermionic Schwinger term (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 57-64 
    Details
    ISSN: 1573-0530
    Keywords: 58B99 ; 81R10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The fermionic Schwinger term which arises with in the context of quasifree second quantization by normal ordering the fermionic charges, is shown to have its origin in the ‘exotic’ symplectic left action of the connected component of the restricted unitary group on its homogenous space: the Grassmannian.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00751171
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Quantum affine algebras and universalR-matrix with spectral parameter (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 101-110 
    Details
    ISSN: 1573-0530
    Keywords: 81R10 ; 17B37 ; 16W30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Using the previously obtained universalR-matrix for the quantized nontwisted affine Lie algebras U q (A 1 (1) ) and U q (A 2 (1) ), we determine the explicitly spectral dependent universalR-matrix for the corresponding quantum Lie algebras U q (A 1) and U q (A 2). As applications, we reproduce the well known results in the fundamental representations and we also derive an extremely explicit formula of the spectral-dependentR-matrix for the adjoint representation of U q (A 2), the simplest nontrivial case when the tensor product decomposition of the representation with itself has nontrivial multiplicity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00750144
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Eigensystem and full character formula of theW 1+∞ algebra withc = 1 (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 289-298 
    Details
    ISSN: 1573-0530
    Keywords: 81R10 ; 81T40 ; 17B68 ; 58F07
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract By using the free field realizations, we analyze the representation theory of theW 1+∞ algebra withc = 1. The eigenvectors for the Cartan subalgebra ofW 1+∞ are parametrized by Young diagrams, and explicitly written down byW 1+∞ generators. Moreover, their eigenvalues and full character formula are also obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00762791
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    On the fundamental representation of borcherds algebras with one imaginary simple root (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 327-334 
    Details
    ISSN: 1573-0530
    Keywords: 17B65 ; 81R10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Borcherds algebras represent a new class of Lie algebras which have almost all the properties that ordinary Kac-Moody algebras have, but the only major difference is that these generalized Kac-Moody algebras are allowed to have imaginary simple roots. The simplest nontrivial examples one can think of are those where one adds ‘by hand’ one imaginary simple root to an ordinary Kac-Moody algebra. We study the fundamental representation of this class of examples and prove that an irreducible module is given by the full tensor algebra over some integrable highest weight module of the underlying Kac-Moody algebra. We also comment on possible realizations of these Lie algebras in physics as symmetry algebras in quantum field theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00762796
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 11
    Electronic Resource
    Electronic Resource
    Diagonalization of the braid generator on unitary irreps of quantum supergroups (1994)
    Springer
    Letters in mathematical physics 32 (1994), S. 231-240 
    Details
    ISSN: 1573-0530
    Keywords: 81R10 ; 17B37 ; 16W30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is shown that the braid generator σ associated with the universalR-matrix is diagonalizable on all unitary representations of quantum supergroups. An example is considered using U q (gl(2|1)) and a family of eight-dimensional typical representations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00750665
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 12
    Electronic Resource
    Electronic Resource
    Left regular representation and contraction of sl q (2) to e q (2) (1994)
    Springer
    Letters in mathematical physics 32 (1994), S. 249-258 
    Details
    ISSN: 1573-0530
    Keywords: 16W30 ; 17B37 ; 81R10 ; 81R50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The left regular representation of the quantum algebras sl q (2) and e q (2) are discussed and shown to be related by contraction. The reducibility is studied andq-difference intertwining operators are constructed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00750667
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...