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
@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/}
}
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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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