The 𝐴₂ Andrews–Gordon identities and cylindric partitions

DOI10.1090/btran/147zbMath1518.05009arXiv2111.07550OpenAlexW4382138808MaRDI QIDQ6115056

S. Ole Warnaar

Publication date: 12 July 2023

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07550

zbMATH Keywords

Rogers-Ramanujan identitiescharacter formulascylindric partitions\(\text{A}_{r-1}^{(1)}\) branching functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Bilateral identities of the Rogers–Ramanujan type ⋮ Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities

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