Spin Kostka polynomials

Jinkui Wan; Weiqiang Wang

doi:10.1007/s10801-012-0362-4

Spin Kostka polynomials

Jinkui Wan^*, Weiqiang Wang

^*Corresponding author for this work

School of Mathematics and Statistics

University of Virginia School of Engineering and Applied Science

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We introduce a spin analogue of Kostka polynomials and show that these polynomials enjoy favorable properties parallel to the Kostka polynomials. Further connections of spin Kostka polynomials with representation theory are established.

Original language	English
Pages (from-to)	117-138
Number of pages	22
Journal	Journal of Algebraic Combinatorics
Volume	37
Issue number	1
DOIs	https://doi.org/10.1007/s10801-012-0362-4
Publication status	Published - Feb 2013

Keywords

Hall-Littlewood functions
Hecke-Clifford algebra
Kostka polynomials
Schur Q-functions
Symmetric groups
q-weight multiplicity

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10.1007/s10801-012-0362-4

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title = "Spin Kostka polynomials",

abstract = "We introduce a spin analogue of Kostka polynomials and show that these polynomials enjoy favorable properties parallel to the Kostka polynomials. Further connections of spin Kostka polynomials with representation theory are established.",

keywords = "Hall-Littlewood functions, Hecke-Clifford algebra, Kostka polynomials, Schur Q-functions, Symmetric groups, q-weight multiplicity",

author = "Jinkui Wan and Weiqiang Wang",

year = "2013",

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doi = "10.1007/s10801-012-0362-4",

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AU - Wan, Jinkui

AU - Wang, Weiqiang

PY - 2013/2

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N2 - We introduce a spin analogue of Kostka polynomials and show that these polynomials enjoy favorable properties parallel to the Kostka polynomials. Further connections of spin Kostka polynomials with representation theory are established.

AB - We introduce a spin analogue of Kostka polynomials and show that these polynomials enjoy favorable properties parallel to the Kostka polynomials. Further connections of spin Kostka polynomials with representation theory are established.

KW - Hall-Littlewood functions

KW - Hecke-Clifford algebra

KW - Kostka polynomials

KW - Schur Q-functions

KW - Symmetric groups

KW - q-weight multiplicity

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U2 - 10.1007/s10801-012-0362-4

DO - 10.1007/s10801-012-0362-4

M3 - Article

AN - SCOPUS:84871794384

SN - 0925-9899

VL - 37

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JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 1

ER -

Spin Kostka polynomials

Abstract

Keywords

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