A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type
Open Access
- 1 February 1996
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 348 (2), 481-501
- https://doi.org/10.1090/s0002-9947-96-01535-8
Abstract
We obtain a vertex operator construction of level 3 standard representations for the affine Lie algebra A 2 ( 2 ) A_2^{(2)} . As a corollary, we also get new conbinatorial identities.Keywords
This publication has 28 references indexed in Scilit:
- A combinatorial proof of a partition identity related to the level 3 representations of a twisted affine lie algebraCommunications in Algebra, 1995
- Calculus of principally twisted vertex operatorsMemoirs of the American Mathematical Society, 1987
- Structure of the level one standard modules for the affine Lie algebras 𝐵_{𝑙}⁽¹⁾,𝐹⁽¹⁾₄ and 𝐺⁽¹⁾₂Memoirs of the American Mathematical Society, 1987
- The structure of standard modulesInventiones Mathematicae, 1985
- The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identitiesInventiones Mathematicae, 1984
- Unitary representations of some infinite dimensional groupsCommunications in Mathematical Physics, 1981
- Basic representations of affine Lie algebras and dual resonance modelsInventiones Mathematicae, 1980
- Analytic and combinatorial generalizations of the Rogers-Ramanujan identitiesMemoirs of the American Mathematical Society, 1980
- Regular elements of finite reflection groupsInventiones Mathematicae, 1974
- Partitionen mit Differenzenbedingungen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1967