QUANTUM SUPERGROUPS, LINK POLYNOMIALS AND REPRESENTATION OF THE BRAID GENERATOR
1993 ◽
Vol 05
(02)
◽
pp. 345-361
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Keyword(s):
Unlike the quantum group case, it is shown that the braid generator σ is not always diagonalizable on V ⊗ V, V an irreducible module for a quantum supergroup. Nevertheless a generalization of the Reshetikhin form of the braid generator, obtained previously for quantum groups, is determined corresponding to every finite dimensional standard cyclic module V of a quantum supergroup. This result is applied to obtain a general closed formula for link polynomials arising from standard cyclic modules of a quantum supergroup belonging to a certain class. As explicit examples we determine link polynomials corresponding to the rank 2 symmetric tensor representation of Uq [gl(m|m)] and the defining representation of Uq [osp(2n|2n)].
Keyword(s):
1992 ◽
Vol 07
(supp01b)
◽
pp. 623-643
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Keyword(s):
1995 ◽
Vol 117
(2)
◽
pp. 259-273
◽
Keyword(s):
2013 ◽
Vol 65
(5)
◽
pp. 1073-1094
◽
2014 ◽
Vol 57
(4)
◽
pp. 708-720
◽
1991 ◽
Vol 06
(13)
◽
pp. 1177-1183
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Keyword(s):