Quantum double finite group algebras and their representations
1993 ◽
Vol 48
(2)
◽
pp. 275-301
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Keyword(s):
The quantum double construction is applied to the group algebra of a finite group. Such algebras are shown to be semi-simple and a complete theory of characters is developed. The irreducible matrix representations are classified and applied to the explicit construction of R-matrices: this affords solutions to the Yang-Baxter equation associated with certain induced representations of a finite group. These results are applied in the second paper of the series to construct unitary representations of the Braid group and corresponding link polynomials.
1994 ◽
Vol 49
(2)
◽
pp. 177-204
◽
1996 ◽
Vol 48
(6)
◽
pp. 1324-1338
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Keyword(s):
Keyword(s):
1988 ◽
Vol 108
(1-2)
◽
pp. 117-132
Keyword(s):
2016 ◽
Vol 15
(05)
◽
pp. 1650092
Keyword(s):
2010 ◽
Vol 09
(02)
◽
pp. 305-314
◽
2012 ◽
Vol 12
(01)
◽
pp. 1250130
Keyword(s):
2006 ◽
Vol 47
(10)
◽
pp. 103511
◽
Keyword(s):