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https://doi.org/10.3336/gm.52.1.05

Twisted sl(3,C)˜-modules and combinatorial identities

Ivica Siladić ; Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia


Puni tekst: engleski pdf 228 Kb

str. 53-77

preuzimanja: 437

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Sažetak

The main result of this paper is a combinatorial description of a basis of standard level 1 module for the twisted affine Lie algebra A2(2). This description also gives two new combinatorial identities of Göllnitz (or Rogers-Ramanujan) type. Methods used through the paper are mainly developed by J. Lepowsky, R. L. Wilson, A. Meurman and M. Primc, and the crucial role in constructions plays a vertex operator algebra approach to standard representations of affine Lie algebras.

Ključne riječi

Twisted affine Lie algebras, standard modules, vertex operator algebras, colored partitions, Rogers-Ramanujan identities

Hrčak ID:

183123

URI

https://hrcak.srce.hr/183123

Posjeta: 676 *