Irreducibility criterion for tensor products of Yangian evaluation modules

Details Irreducibility criterion for tensor products of Yangian evaluation modules Irreducibility criterion for tensor products of Yangian evaluation modules

2000-09-20

arxiv.org/abs/math/0009183v2

Duke Math. J. 112 (2002), 307--341.

Mathematics

Quantum Algebra

33 pages

Scientific paper

The evaluation homomorphisms from the Yangian Y(gl_n) to the universal
enveloping algebra U(gl_n) allow one to regard the irreducible
finite-dimensional representations of gl_n as Yangian modules. We give
necessary and sufficient conditions for irreducibility of tensor products of
such evaluation modules.

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