Refined q-trinomial coefficients and character identities

Abstract

A refinement of the q-trinomial coefficients is introduced, which has a very powerful iterative property. This ``T-invariance'' is applied to derive new Virasoro character identities related to the exceptional simply-laced Lie algebras E_6,E_7 and E_8.

17 pages, 1 figure, submitted to the proceedings of The Baxter Revolution in Mathematical Physics

References in corpus (6)

• The generalized Borwein conjecture. II. Refined q-trinomial coefficients
• New families of flows between two-dimensional conformal field theories
• A Burge tree of Virasoro-type polynomial identities
• The perturbations ${\varphi }_{2,1}$ and ${\varphi }_{1,5}$ of the minimal models $M(p,p^{\prime })$ and the trinomial analogue of Bailey's lemma
• A Trinomial Analogue of Bailey's Lemma and N=2 Superconformal Invariance
• $q$-Trinomial identities

Cited by in corpus (5)

• The generalized Borwein conjecture. II. Refined q-trinomial coefficients
• On identities of the Rogers--Ramanujan type
• Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution
• On double sum generating functions in connection with some classical partition theorems
• Finite Rogers--Ramanujan type identities