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Irreducibility of fusion modules over twisted Yangians at generic point

Andrey Mudrov
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Abstract

With any skew Young diagram one can associate a one parameter family of "elementary" modules over the Yangian $\Yg(\gł_N)$. Consider the twisted Yangian $\Yg(\g_N)\subset \Yg(\gł_N)$ associated with a classical matrix Lie algebra $\g_N\subset\gł_N$. 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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BibTeXRIS

Andrey Mudrov. 2007-01-28. Irreducibility of fusion modules over twisted Yangians at generic point. https://doi.org/10.1007/s11005-007-0142-6

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