Refined q-trinomial coefficients and character identities

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

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.

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