Identities for Poincaré Polynomials via Kostant Cascades
Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1131-1160
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.
DOI:
10.5802/jolt.1154
Classification:
20F55, 17B22
Keywords: Affine Weyl Group, Poincaré polynomial
Keywords: Affine Weyl Group, Poincaré polynomial
@article{JOLT_2020_30_4_a11,
author = {J. Ellegaard Andersen and J. C. Jantzen and D. Pei},
title = {Identities for {Poincar\'e} {Polynomials} via {Kostant} {Cascades}},
journal = {Journal of Lie Theory},
pages = {1131--1160},
year = {2020},
volume = {30},
number = {4},
doi = {10.5802/jolt.1154},
zbl = {1530.20117},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1154/}
}
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 - 1160 VL - 30 IS - 4 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1154/ DO - 10.5802/jolt.1154 ID - JOLT_2020_30_4_a11 ER -
J. Ellegaard Andersen; J. C. Jantzen; D. Pei. Identities for Poincaré Polynomials via Kostant Cascades. Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1131-1160. doi: 10.5802/jolt.1154
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