Twisting 2-cocycles for the construction of new non-standard quantum groups

Details Twisting 2-cocycles for the construction of new non-standard quantum groups Twisting 2-cocycles for the construction of new non-standard quantum groups

1997-02-24

arxiv.org/abs/q-alg/9702028v3

Mathematics

Quantum Algebra

21 pages, AMSLaTeX, expanded introduction and a few other minor corrections, to appear in JMP

Scientific paper

10.1063/1.531949

We introduce a new class of 2-cocycles defined explicitly on the generators of certain multiparameter standard quantum groups. These allow us, through the process of twisting the familiar standard quantum groups, to generate new as well as previously known examples of non-standard quantum groups. In particular we are able to construct generalisations of both the Cremmer-Gervais deformation of SL(3) and the so called esoteric quantum groups of Fronsdal and Galindo in an explicit and straightforward manner.

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