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Vertex algebras and combinatorial identities

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Publication:1862250
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DOI10.1023/A:1019747408807zbMath1030.17027OpenAlexW30626809MaRDI QIDQ1862250

Mirko Primc

Publication date: 11 March 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019747408807

zbMATH Keywords

Rogers-Ramanujan identitiesaffine Lie algebrasvertex algebras


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)


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A RECURRENCE RELATION FOR CHARACTERS OF HIGHEST WEIGHT INTEGRABLE MODULES FOR AFFINE LIE ALGEBRAS, Bilateral identities of the Rogers–Ramanujan type, Rogers-Ramanujan type identities and nil-DAHA, False theta functions and companions to Capparelli's identities



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