Verma modules for Yangians

Details Verma modules for Yangians Verma modules for Yangians

2005-08-08

arxiv.org/abs/math/0508143v1

Lett. Math. Phys. 78 (2006), 1-16.

Mathematics

Quantum Algebra

18 pages

Scientific paper

10.1007/s11005-006-0107-1

We study the Verma modules M(mu(u)) over the Yangian Y(a) associated with a
simple Lie algebra a. We give necessary and sufficient conditions for
irreducibility of M(mu(u)). Moreover, regarding the simple quotient L(mu(u)) of
M(mu(u)) as an a-module, we give necessary and sufficient conditions for
finite-dimensionality of the weight subspaces of L(mu(u)).

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