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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: 245* citiraj
APA 6th Edition
Siladić, I. (2017). Twisted sl(3,C)˜-modules and combinatorial identities. Glasnik matematički, 52 (1), 53-77. https://doi.org/10.3336/gm.52.1.05
MLA 8th Edition
Siladić, Ivica. "Twisted sl(3,C)˜-modules and combinatorial identities." Glasnik matematički, vol. 52, br. 1, 2017, str. 53-77. https://doi.org/10.3336/gm.52.1.05. Citirano 20.09.2020.
Chicago 17th Edition
Siladić, Ivica. "Twisted sl(3,C)˜-modules and combinatorial identities." Glasnik matematički 52, br. 1 (2017): 53-77. https://doi.org/10.3336/gm.52.1.05
Harvard
Siladić, I. (2017). 'Twisted sl(3,C)˜-modules and combinatorial identities', Glasnik matematički, 52(1), str. 53-77. https://doi.org/10.3336/gm.52.1.05
Vancouver
Siladić I. Twisted sl(3,C)˜-modules and combinatorial identities. Glasnik matematički [Internet]. 2017 [pristupljeno 20.09.2020.];52(1):53-77. https://doi.org/10.3336/gm.52.1.05
IEEE
I. Siladić, "Twisted sl(3,C)˜-modules and combinatorial identities", Glasnik matematički, vol.52, br. 1, str. 53-77, 2017. [Online]. https://doi.org/10.3336/gm.52.1.05

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: 341 *