Identities for Poincaré Polynomials via Kostant Cascades

Jørgen Ellegaard Andersen; Jens Carsten Jantzen; Du Pei

Identities for Poincaré Polynomials via Kostant Cascades

Jørgen Ellegaard Andersen, Jens Carsten Jantzen, Du Pei

Mads Clausen Instituttet (MCI)

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Journal of Lie Theory
Vol/bind	30
Udgave nummer	4
Sider (fra-til)	1131-1160
ISSN	0949-5932
Status	Udgivet - 2020

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Citationsformater

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title = "Identities for Poincar{\'e} Polynomials via Kostant Cascades",

abstract = "We propose and prove an identity relating the Poincar{\'e} polynomials of stabilizer subgroups of the affine Weyl group and of the corresponding stabilizer subgroups of the Weyl group.",

keywords = "Affine Weyl Group, Poincar{\'e} polynomial",

author = "Andersen, {J{\o}rgen Ellegaard} and Jantzen, {Jens Carsten} and Du Pei",

year = "2020",

language = "English",

volume = "30",

pages = "1131--1160",

journal = "Journal of Lie Theory",

issn = "0949-5932",

publisher = "Heldermann Verlag",

number = "4",

}

TY - JOUR

T1 - Identities for Poincaré Polynomials via Kostant Cascades

AU - Andersen, Jørgen Ellegaard

AU - Jantzen, Jens Carsten

AU - Pei, Du

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Affine Weyl Group

KW - Poincaré polynomial

M3 - Journal article

AN - SCOPUS:85091392858

SN - 0949-5932

VL - 30

SP - 1131

EP - 1160

JO - Journal of Lie Theory

JF - Journal of Lie Theory

IS - 4

ER -

Identities for Poincaré Polynomials via Kostant Cascades

Abstract

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Citationsformater