The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials
Combinatorics
2007-05-23 v1 Group Theory
Quantum Algebra
q-alg
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
Cite
@article{arxiv.math/9712236,
title = {The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/9712236},
year = {2007}
}
Comments
7 pages