On irreducibility of tensor products of evaluation modules for the quantum affine algebra

Details On irreducibility of tensor products of evaluation modules for the quantum affine algebra On irreducibility of tensor products of evaluation modules for the quantum affine algebra

2003-09-30

arxiv.org/abs/math/0309468v2

J. Phys. A: Math. Gen. 37 (2004), 2385 - 2399.

Mathematics

Quantum Algebra

22 pages. Some references are added

Scientific paper

10.1088/0305-4470/37/6/028

Every irreducible finite-dimensional representation of the quantized
enveloping algebra U_q(gl_n) can be extended to the corresponding quantum
affine algebra via the evaluation homomorphism. We give in explicit form the
necessary and sufficient conditions for irreducibility of tensor products of
such evaluation modules.

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