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  • 57M25  (1)
  • quantum group  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Quantum Differentials and the q-Monopole Revisited (1998)
    Springer
    Acta applicandae mathematicae 54 (1998), S. 185-232 
    Details
    ISSN: 1572-9036
    Keywords: q-monopole ; quantum group ; quantum sphere ; quantum bundle ; differentials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The q-monopole bundle introduced previously is extended to ageneral construction for quantum group bundles with nonuniversaldifferential calculi. We show that the theory applies to several otherclasses of bundles as well, including bicrossproduct quantum groups, thequantum double and combinatorial bundles associated with covers of compactmanifolds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006053806824
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  • 2
    Electronic Resource
    Electronic Resource
    A class of bicovariant differential calculi on hopf algebras (1992)
    Springer
    Letters in mathematical physics 26 (1992), S. 67-78 
    Details
    ISSN: 1573-0530
    Keywords: 81R50 ; 16W30 ; 58B30 ; 57M25 ; 05A30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We introduce a large class of bicovariant differential calculi on any quantum group A, associated to Ad-invariant elements. For example, the deformed trace element on SLq (2) recovers Woronowicz's 4D ± calculus. More generally, we obtain a class of differential calculi on each quantum group A(R), based on the theory of the corresponding braided groups B(R). Here R is any regular solution of the QYBE.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00420519
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