
School of Mathematics and Statistics
ShunJen Cheng
National Taiwan University
Howe duality for Lie superalgebras.
Thursday 1st February, 121pm,
Carslaw 275.
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_mduality, we will construct dualities involving:
(i) a pair of the finitedimensional general linear Lie
superalgebra
(ii) the general infinitedimensional Lie superalgebra and the
finitedimensional general linear group.
(iii) the infinitedimensional orthosymplectic Lie superalgebra of
Btype and the Pin group.
Please note that this algebra seminar will
be held on Thursday  not Friday.
