The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials

Preprint

9 December 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9712236

Abstract

The Rogers-Ramanujan identities have been studied from the viewpoints of combinatorics, number theory, affine Lie algebras, statistical mechanics, and quantum field theory. This note connects the Rogers-Ramanujan identities with the finite general linear groups and the Hall-Littlewood polynomials of symmetric function theory.

Keywords

ROGERS RAMANUJAN IDENTITIES
GENERAL LINEAR GROUPS
FINITE GENERAL LINEAR
LINEAR GROUPS
STATISTICAL
ALGEBRAS

All Related Versions

Version 1, 1997-12-09, ArXiv

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