Identities for Poincaré Polynomials via Kostant Cascades
Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1131-1160

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 20F55, 17B22
Mots-clés : Affine Weyl Group, Poincaré polynomial

Joergen Ellegaard Andersen  1   ; Jens Carsten Jantzen  2   ; Du Pei  3

1 Centre for Quantum Mathematics, University of Southern Denmark, 5230 Odense M, Denmark
2 Dept. of Mathematics, University of Aarhus, 8000 Aarhus, Denmark
3 Center for Mathematical Sciences and Applications, Dept. of Mathematics, Harvard University, Cambridge, MA 02139, U.S.A.
Joergen Ellegaard Andersen; Jens Carsten Jantzen; Du Pei. Identities for Poincaré Polynomials via Kostant Cascades. Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1131-1160. http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a11/
@article{JOLT_2020_30_4_a11,
     author = {Joergen Ellegaard Andersen and Jens Carsten Jantzen and Du Pei},
     title = {Identities for {Poincar\'e} {Polynomials} via {Kostant} {Cascades}},
     journal = {Journal of Lie Theory},
     pages = {1131--1160},
     year = {2020},
     volume = {30},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a11/}
}
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