Symmetrizable quantum affine superalgebras and their representations
نویسندگان
چکیده
منابع مشابه
Symmetrizable Quantum Affine Superalgebras and Their Representations
Aspects of the algebraic structure and representation theory of the quantum affine superalgebras with symmetrizable Cartan matrices are studied. The irreducible integrable highest weight representations are classified, and shown to be deformations of their classical counterparts. It is also shown that Jimbo type quantum affine superalgebras can be obtained by deforming universal enveloping alge...
متن کاملAsymptotic Representations of Quantum Affine Superalgebras
We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez–Jimbo, we construct inductive systems of Kirillov–Reshetikhin modules based on a cyclicity result that we established previously on tensor products of these modules, and realize their inductive limits as modules over its Borel subalgebra, the so-called q-Yang...
متن کاملQuantum Reduction for Affine Superalgebras
We extend the homological method of quantization of generalized Drinfeld–Sokolov reductions to affine superalgebras. This leads, in particular, to a unified representation theory of superconformal algebras. 1991 MSC: 17B65, 17B67, 81R1
متن کاملOn Type-I Quantum Affine Superalgebras
The type-I simple Lie-superalgebras are sl(m|n) and osp(2|2n). We study the quantum deformations of their untwisted affine extensions Uq(sl(m|n) (1)) and Uq(osp(2|2n) (1)). We identify additional relations between the simple generators (“extra q-Serre relations”) which need to be imposed to properly defineUq(sl(m|n) (1)) and Uq(osp(2|2n) (1)). We present a general technique for deriving the spe...
متن کاملOn Defining Relations of the Affine Lie Superalgebras and Their Quantized Universal Enveloping Superalgebras
Introduction. In this paper, we give defining relations of the affine Lie superalgebras and defining relations of a super-version of the Drinfeld[D1]Jimbo[J] affine quantized enveloping algebras. As a result, we can exactly define the affine quantized universal enveloping superalgebras with generators and relations. Moreover we give a Drinfeld’s realization of Uh(ŝl(m|n)). For the Kac-Moody Lie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1997
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531833