Cylindric partitions and some new $A_2$ Rogers–Ramanujan identities

DOI10.1090/proc/15570zbMath1479.05012arXiv2011.12828OpenAlexW3139610723MaRDI QIDQ5020688

Jehanne Dousse, Ali Kemal Uncu, Sylvie Corteel

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.12828

zbMATH Keywords

\(q\)-seriescylindric partitions\(A_2\) Rogers-Ramanujan identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Neighborly partitions and the numerators of Rogers–Ramanujan identities ⋮ Bilateral identities of the Rogers–Ramanujan type ⋮ A Unified Approach to Unimodality of Gaussian Polynomials ⋮ The 𝐴₂ Andrews–Gordon identities and cylindric partitions ⋮ Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities ⋮ Combinatorial constructions of generating functions of cylindric partitions with small profiles into unrestricted or distinct parts ⋮ Weighted cylindric partitions ⋮ Coloured \(\mathfrak{sl}_r\) invariants of torus knots and characters of \(\mathcal{W}_r\) algebras

Uses Software

• qFunctions

Cites Work

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