First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
نویسندگان
چکیده
منابع مشابه
Deforming the Lie Superalgebra of Contact Vector Fields on S 1 | 1 inside the Lie Superalgebra of Superpseudodifferential operators on S 1 | 1
We classify nontrivial deformations of the standard embedding of the Lie superalgebra K(1) of contact vector fields on the (1,1)-dimensional supercircle into the Lie super-algebra of superpseudodifferential operators on the supercircle. This approach leads to the deformations of the central charge induced on K(1) by the canonical central extension of SΨDO.
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The enveloping algebra U(g) of the Lie superalgebra g has a deformation, called the Yangian of qN . For each M = 1 ,2 , . . . denote by A M N the centralizer of qM ⊂ qN+M in the associative superalgebra U(qN+M ) . We construct a sequence of surjective homomorphisms U(qN ) ← A 1 N ← A 2 N ← . . . . We describe the inverse limit of the sequence of centralizer algebras A1N ,A 2 N , . . . in terms ...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2011
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-011-9292-4