Algebra Seminar

Howe duality is a way to relate the representation theory of a pair of Lie groups/algebras. The purpose of this talk is to discuss various dualities involving Lie superalgebras. In particular, after briefly reviewing the classical GL_nx GL_m-duality, we will construct dualities involving:
(i) a pair of the finite-dimensional general linear Lie superalgebra
(ii) the general infinite-dimensional Lie superalgebra and the finite-dimensional general linear group.
(iii) the infinite-dimensional orthosymplectic Lie superalgebra of B-type and the Pin group.

Please note that this algebra seminar will be held on Thursday - not Friday.