A denominator identity for affine Lie superalgebras with zero dual Coxeter number
نویسندگان
چکیده
منابع مشابه
Denominator Identity for Affine Lie Superalgebras with Zero Dual Coxeter Number
0.1. Let g be a complex finite-dimensional contragredient Lie superalgebra. These algebras were classified by V. Kac in [K1] and the list (excluding Lie algebras) consists of four series: A(m|n), B(m|n), C(m), D(m|n) and the exceptional algebrasD(2, 1, a), F (4), G(3). The finite-dimensional contragredient Lie superalgebras with zero Killing form (or, equivalently, with dual Coxeter number equa...
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Weyl denominator identity for the affinization of a basic Lie superalgebra with non-zero Killing form was formulated by V. Kac and M. Wakimoto and was proven by them for the defect one case. In this paper we prove this identity. 0. Introduction Let g be a basic Lie superalgebra with a non-zero Killing form. Let ĝ be the affinization of g. Let h (resp., ĥ) be the Cartan subalgebra in g (resp., i...
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We provide formulas for the Weyl-Kac denominator and superdenominator of a basic classical Lie superalgebra for a distinguished set of positive roots. Résumé. Nous donnons les formules pour les dénominateurs et super-dénominateurs de Weyl-Kac d’une superalgèbre de Lie basique classique pour un ensemble distingué de racines positives.
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We give a realization of the quantum affine Lie superalgebras Uq(Â(M − 1, N − 1)) in terms of anyons defined on a one or two-dimensional lattice, the deformation parameter q being related to the statistical parameter ν of the anyons by q = eiπν . The construction uses anyons contructed from usual fermionic oscillators and deformed bosonic oscillators. As a byproduct, realization deformed in any...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2012
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2012.6.1043