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

Jason Fulman
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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.

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Jason Fulman. 1997-12-09. The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomials. https://arxiv.org/abs/math/9712236

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