Identities for Poincaré Polynomials via Kostant Cascades
Journal of Lie theory, Tome 30 (2020) no. 4, pp. 1131-116
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
Mots-clés : Affine Weyl Group, Poincaré polynomial
@article{JLT_2020_30_4_JLT_2020_30_4_a11,
author = {J. Ellegaard Andersen and J. C. Jantzen and D. Pei},
title = {Identities for {Poincar\~A{\textcopyright}} {Polynomials} via {Kostant} {Cascades}},
journal = {Journal of Lie theory},
pages = {1131--116},
year = {2020},
volume = {30},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a11/}
}
TY - JOUR AU - J. Ellegaard Andersen AU - J. C. Jantzen AU - D. Pei TI - Identities for Poincaré Polynomials via Kostant Cascades JO - Journal of Lie theory PY - 2020 SP - 1131 EP - 116 VL - 30 IS - 4 UR - http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a11/ ID - JLT_2020_30_4_JLT_2020_30_4_a11 ER -
J. Ellegaard Andersen; J. C. Jantzen; D. Pei. Identities for Poincaré Polynomials via Kostant Cascades. Journal of Lie theory, Tome 30 (2020) no. 4, pp. 1131-116. http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a11/