Irreducibility criterion for tensor products of Yangian evaluation modules
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0009183,
title = {Irreducibility criterion for tensor products of Yangian evaluation modules},
author = {A. I. Molev},
journal= {arXiv preprint arXiv:math/0009183},
year = {2007}
}
Comments
33 pages