Integrable Representations of Toroidal Lie Algebras

<strong>Mathematics Seminar of the School of Physical Sciences ---------------------------------------------------------</strong> Title:<strong>&nbsp;Integrable Representations of Toroidal Lie Algebras</strong> Speaker:<strong>&nbsp;Tanusree Khandai&nbsp;</strong> (National Institute of Science Education &amp; Research, Bhubaneswar) Date:&nbsp;<strong>November 10, 2016</strong> <strong>Abstract:</strong>&nbsp;Given a finite-dimensional simple Lie algebra L, one can define a Lie algebra structure on the set of polynomial maps from a k-torus to L. The universal central extension of such a Lie algebra is called a toroidal Lie algebra. The aim of the talk is to describe the structure of the category of integrable representations of toroidal Lie algebras having finite-dimensional weight spaces. The talk is based on a joint work with V. Chari and G. Fourier and a recent work by the speaker. &nbsp;