A central extension of U_q sl(2,2)^{(1)} and R-matrices with a new parameter

Details A central extension of U_q sl(2,2)^{(1)} and R-matrices with a new parameter A central extension of U_q sl(2,2)^{(1)} and R-matrices with a new parameter

2003-04-25

arxiv.org/abs/math/0304406v4

Mathematics

Quantum Algebra

18 pages, latex, v2.2 references added

Scientific paper

In this paper, using a quantum superalgebra associated with the universal
central extension of sl(2,2)^{(1)}, we introduce new R-matrices having an extra
parameter x. As x\to 0, they become those associated with the symmetric and
anti-symmetric tensor products of the copies of the vector representation of
U_q sl(2,2)^{(1)}.

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