|
Let W be the Weyl group of a simple complex Lie group G.
If T is a maximal torus of G then W has a graded representation
on the cohomology of the flag variety G/T, which is well-known
to be equivalent to the representation of W on its coinvariant
algebra SW. It has long been known that for certain
integers d, the sums of homogeneous components of SW
of degrees congruent to k mod d for a fixed k may be expressed
as induced representations of W. I shall generalise and explain
this in terms of the "twisted invariant theory" of an arbitrary
unitary reflection group.
|
Calendar
(ICS file) download, for import into your favourite calendar application