Journal of Lie Theory 30 (2020), No. 4, 1131--1160
Copyright Heldermann Verlag 2020
Identities for Poincaré Polynomials via Kostant Cascades
Joergen Ellegaard Andersen
Centre for Quantum Mathematics, University of Southern Denmark, 5230 Odense M, Denmark
jea-qm@mci.sdu.dk
Jens Carsten Jantzen
Dept. of Mathematics, University of Aarhus, 8000 Aarhus, Denmark
jantzen@math.au.dk
Du Pei
Center for Mathematical Sciences and Applications, Dept. of Mathematics, Harvard University, Cambridge, MA 02139, U.S.A.
dpei@cmsa.fas.harvard.edu
We propose and prove an identity relating the Poincaré polynomials of stabilizer subgroups of the affine Weyl group and of the corresponding stabilizer subgroups of the Weyl group.
Keywords: Affine Weyl Group, Poincaré polynomial.
MSC: 20F55, 17B22.
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