Irreducibility of fusion modules over twisted Yangians at generic point

Details Irreducibility of fusion modules over twisted Yangians at generic point Irreducibility of fusion modules over twisted Yangians at generic point

2006-12-23

arxiv.org/abs/math/0612738v2

Mathematics

Quantum Algebra

Replaced with journal version, 18 pages

Scientific paper

With any skew Young diagram one can associate a one parameter family of "elementary" modules over the Yangian $\Yg(\g\l_N)$. Consider the twisted Yangian $\Yg(\g_N)\subset \Yg(\g\l_N)$ associated with a classical matrix Lie algebra $\g_N\subset\g\l_N$. Regard the tensor product of elementary Yangian modules as a module over $\Yg(\g_N)$ by restriction. We prove its irreducibility for generic values of the parameters.

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