Refined \(q\)-trinomial coefficients and character identities.

DOI10.1023/A:1004827709169zbMath1135.33304arXivmath/0005123OpenAlexW1637586121MaRDI QIDQ5942281

S. Ole Warnaar

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005123

zbMATH Keywords

exceptional simply-laced Lie algebrasVirasoro character identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Other combinatorial number theory (11B75) Exactly solvable models; Bethe ansatz (82B23) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (7)

\texttt{RRtools} -- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities ⋮ The generalized Borwein conjecture. II: Refined \(q\)-trinomial coefficients ⋮ On double sum generating functions in connection with some classical partition theorems ⋮ On identities of the Rogers-Ramanujan type ⋮ Elementary polynomial identities involving \(q\)-trinomial coefficients ⋮ Refined q-Trinomial Coefficients and Two Infinite Hierarchies of q-Series Identities ⋮ q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

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