2 2 N ov 2 00 5 2 - Cocycles of the Lie superalgebras of Weyl type
نویسنده
چکیده
F [D] of Weyl type was defined and studied, where A is a commutative associative algebra with an identity element over a field F of arbitrary characteristic, and F [D] is the polynomial algebra of a commutative derivation subalgebra D of A. The 2-cocycles of a class of A[D] were determined by Su. In the present paper, we determine the 2-cocycles of a class of Lie superalgebras of Weyl type over a field F of characteristic 0.
منابع مشابه
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We obtain Drinfeld second realization of the quantum affine superalgebras associated with the affine Lie superalgebra D(1)(2, 1;x). Our results are analogous to those obtained by Beck for the quantum affine algebras. Beck’s analysis uses heavily the (extended) affine Weyl groups of the affine Lie algebras. In our approach the structures are based on a Weyl groupoid. Preprint numbers: MIT-CTP 38...
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