Glasnik matematički, Vol. 52 No. 1, 2017.
Original scientific paper
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
Abstract
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.
Keywords
Twisted affine Lie algebras; standard modules; vertex operator algebras; colored partitions; Rogers-Ramanujan identities
Hrčak ID:
183123
URI
Publication date:
21.6.2017.
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