AN EXTENSION OF THE CLASSICAL GAUSS SERIES-PRODUCT IDENTITY BY BOSON–FERMIONIC REALIZATION OF THE AFFINE ALGEBRA $\widehat{\mathfrak{gl}}_n$
2010 ◽
Vol 09
(01)
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pp. 123-133
The main results 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 [Formula: see text], one of them stemming from a boson–fermionic realization of the affine Lie algebra [Formula: see text].
2011 ◽
Vol 26
(01)
◽
pp. 149-160
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2019 ◽
Vol 18
(12)
◽
pp. 1950227
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2017 ◽
Vol 369
(7)
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pp. 5113-5136
1995 ◽
Vol 51
(2)
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pp. 177-194
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2014 ◽
Vol 25
(07)
◽
pp. 1450063
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