A motivated proof of the Gollnitz-Gordon-Andrews identities

被引：5

作者：

Coulson, Bud ^{[1
]}

Kanade, Shashank ^{[1
,2
]}

Lepowsky, James ^{[1
]}

McRae, Robert ^{[1
,3
]}

Qi, Fei ^{[1
]}

Russell, Matthew C. ^{[1
]}

Sadowski, Christopher ^{[1
,4
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[3] Peking Univ, Beijing Int Ctr Math Res, Beijing 100084, Peoples R China

[4] Ursinus Coll, Dept Math & Comp Sci, Collegeville, PA 19426 USA

来源：

RAMANUJAN JOURNAL | 2017年 / 42卷 / 01期

关键词：

Gollnitz-Gordon-Andrews identities; Partition identities; Vertex operator algebras; VERTEX-ALGEBRAIC STRUCTURE; PRINCIPAL SUBSPACES; STANDARD MODULES; RAMANUJAN; A(1)((1))-MODULES;

D O I：

10.1007/s11139-015-9722-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present what we call a "motivated proof" of the Gollnitz-Gordon-Andrews identities. A similar motivated proof of the Rogers-Ramanujan identities was previously given by G. E. Andrews and R. J. Baxter, and was subsequently generalized to Gordon's identities by J. Lepowsky and M. Zhu. We anticipate that the present proof of the Gollnitz-Gordon-Andrews identities will illuminate certain twisted vertex-algebraic constructions.

引用

页码：97 / 129

页数：33

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