Duality on Fock spaces and combinatorial energy functions

Jae Hoon Kwon; Euiyong Park

doi:10.1016/j.jcta.2015.03.005

Duality on Fock spaces and combinatorial energy functions

Jae Hoon Kwon, Euiyong Park

Department of Mathematics

Sungkyunkwan University

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

2 Scopus citations

Abstract

We generalize in a combinatorial way the notion of the energy function of affine type A on a sequence of row or column tableaux to the case of a more general class of modules over a general linear Lie superalgebra g based on a Howe duality of type (g,gln) on various Fock spaces.

Original language	English
Pages (from-to)	121-146
Number of pages	26
Journal	Journal of Combinatorial Theory. Series A
Volume	134
DOIs	https://doi.org/10.1016/j.jcta.2015.03.005
State	Published - 1 Aug 2015

Keywords

Energy function
Fock space
Howe duality
Parabolically semistandard tableau

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10.1016/j.jcta.2015.03.005

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title = "Duality on Fock spaces and combinatorial energy functions",

abstract = "We generalize in a combinatorial way the notion of the energy function of affine type A on a sequence of row or column tableaux to the case of a more general class of modules over a general linear Lie superalgebra g based on a Howe duality of type (g,gln) on various Fock spaces.",

keywords = "Energy function, Fock space, Howe duality, Parabolically semistandard tableau",

author = "Kwon, {Jae Hoon} and Euiyong Park",

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year = "2015",

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doi = "10.1016/j.jcta.2015.03.005",

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AU - Kwon, Jae Hoon

AU - Park, Euiyong

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N2 - We generalize in a combinatorial way the notion of the energy function of affine type A on a sequence of row or column tableaux to the case of a more general class of modules over a general linear Lie superalgebra g based on a Howe duality of type (g,gln) on various Fock spaces.

AB - We generalize in a combinatorial way the notion of the energy function of affine type A on a sequence of row or column tableaux to the case of a more general class of modules over a general linear Lie superalgebra g based on a Howe duality of type (g,gln) on various Fock spaces.

KW - Energy function

KW - Fock space

KW - Howe duality

KW - Parabolically semistandard tableau

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DO - 10.1016/j.jcta.2015.03.005

M3 - Article

AN - SCOPUS:84925944262

SN - 0097-3165

VL - 134

SP - 121

EP - 146

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

ER -

Duality on Fock spaces and combinatorial energy functions

Abstract

Keywords

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