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math.RT2026
A Hesselink-type formula for the nilpotent cone of Lie algebra representations
Vasily Krylov, Frank Wang
A well-known result of Hesselink gives a formula for the -character of the nilpotent cone of a semisimple Lie algebra in terms of a -analog of the Kostant partition function.…
math.RT2022
Toward explicit Hilbert series of quasi-invariant polynomials in characteristic and -deformed quasi-invariants
Frank Wang
We study the spaces of -quasi-invariant polynomials of the symmetric group in characteristic . Using the representation theory of the symmetric group we describe…
math.RT2020
The integral shuffle algebra and the -theory of the Hilbert scheme of points in
Frank Wang
We examine the shuffle algebra defined over the ring , also called the integral shuffle algebra, which was found by Schiffmann an…