ANDREWS-GORDON TYPE SERIES FOR THE LEVEL 5 AND 7 STANDARD MODULES OF THE AFFINE LIE ALGEBRA A(2)2

Motoki Takigiku; Shunsuke Tsuchioka

ANDREWS-GORDON TYPE SERIES FOR THE LEVEL 5 AND 7 STANDARD MODULES OF THE AFFINE LIE ALGEBRA A⁽²⁾₂

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

Abstract

We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra A⁽²⁾₂ . We also give conjectural series for some level 2 modules of A⁽²⁾₁₃ .

Original language	English
Journal	Unknown Journal
Publication status	Published - Jun 3 2020

Keywords

Affine Lie algebras
Andrews-Gordon identities
Hypergeometric series
Integer partitions
Q-series
Rogers-Ramanujan identities
Vertex operators

ASJC Scopus subject areas

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title = "ANDREWS-GORDON TYPE SERIES FOR THE LEVEL 5 AND 7 STANDARD MODULES OF THE AFFINE LIE ALGEBRA A(2)2",

abstract = "We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra A(2)2 . We also give conjectural series for some level 2 modules of A(2)13 .",

keywords = "Affine Lie algebras, Andrews-Gordon identities, Hypergeometric series, Integer partitions, Q-series, Rogers-Ramanujan identities, Vertex operators",

author = "Motoki Takigiku and Shunsuke Tsuchioka",

year = "2020",

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issn = "0402-1215",

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AU - Tsuchioka, Shunsuke

PY - 2020/6/3

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N2 - We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra A(2)2 . We also give conjectural series for some level 2 modules of A(2)13 .

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KW - Andrews-Gordon identities

KW - Hypergeometric series

KW - Integer partitions

KW - Q-series

KW - Rogers-Ramanujan identities

KW - Vertex operators

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