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An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$ (CROSBI ID 161153)

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Šikić, Tomislav An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$ // Journal of algebra and its applications, 9 (2010), 1; 123-133. doi: 10.1142/S0219498810003793

Podaci o odgovornosti

Šikić, Tomislav

engleski

An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$

The main result of this paper are two infinite families of series-product identities which are based on a classical Gauss identity and two different interpretations of characters of fundamental modules for the affine Kac-Moody Lie algebra $\widehat{; ; ; \mathfrak{; ; ; sl}; ; ; }; ; ; _n$, one of them stemming from a boson-fermionic realization of the affine Lie algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$.

Affine Lie algebras; characters of fundamental modules; bosonic and fermionic realization; series-product identities; classical Gauss identity

AMS subject classifications: 17B67.

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Podaci o izdanju

9 (1)

2010.

123-133

objavljeno

0219-4988

10.1142/S0219498810003793

Povezanost rada

Matematika

Poveznice
Indeksiranost