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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76416The 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.7 pagesCombinatoricsGroup TheoryQuantum Algebra05A17The Rogers-Ramanujan Identities, the Finite General Linear Groups, and the Hall-Littlewood Polynomialstext