School of Mathematics Colloquium
D-modules on a class of G-representations
by Prof. Philibert Nang (ENS, Gabon)
Thursday, April 18, 2013
from
to
(Asia/Kolkata)
at Colaba Campus ( A-369 )
at Colaba Campus ( A-369 )
Description |
We give an answer to abstract Capelli problem: Let (G, V) be a multiplicity free finite dimensional representation of a connected reductive complex Lie group G and G' be its derived subgroup. Assume that the categorical quotient V//G is one dimensional, i.e., there exists a polynomial f generating the algebra of G'-invariant polynomials on V (\C[V]^G' = \C[f]) and such that f \not\in \C[V]^G ). We prove that the category of regular holonomic D_V-modules invariant under the action of G is equivalent to the category of graded modules of finite type over a suitable algebra. |