arXiv subjects

Y. Billig

Publications and source records attributed to Y. Billig.

2 recordsLinked to original sources

arXiv2005

Verma modules for Yangians

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)).

math.QA↗

arXiv2001

Vertex operator algebras and the representation theory of toroidal algebras

An explicit vertex operator algebra construction is given of a class of irreducible modules for toroidal Lie algebras.

math.QA↗