Glasnik matematički, Vol. 47 No. 1, 2012.
Original scientific paper
https://doi.org/10.3336/gm.47.1.10
The generating condition for the extension of the classical Gauss series-product identity
Tomislav Šikić
; Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia
Abstract
In this paper a condition is presented on parameters (n1,n2,Λk), for arbitrary partition n={n1, n2}, (n1≤ n2) and k=1,...,n-1, which guarantees that two different interpretations of characters of fundamental modules L(Λk) for the affine Kac-Moody Lie algebra generate extended classical Gauss series-product identities.
Keywords
Affine Lie algebras; characters of fundamental modules; series-product identities; classical Gauss identity
Hrčak ID:
82576
URI
Publication date:
3.6.2012.
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