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  • 1
    Electronic Resource
    Electronic Resource
    Braided groups and algebraic quantum field theories (1991)
    Springer
    Letters in mathematical physics 22 (1991), S. 167-175 
    Details
    ISSN: 1573-0530
    Keywords: 16W30 ; 18D10 ; 20N99 ; 81T05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We introduce the notion of a braided group. This is analogous to a supergroup with Bose-Fermi statistics ±1 replaced by braid statistics. We show that every algebraic quantum field theory in two dimensions leads to a braided group of internal symmetries. Every quantum group can be viewed as a braided group.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00403542
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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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