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Triviality of the second cohomology group of the conformal algebras  and 
Author(s):
I.
A.
Dolguntseva
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 21
(2009),
nomer 1.
Journal:
St. Petersburg Math. J.
21
(2010),
53-63.
MSC (2000):
Primary 13D03
Posted:
November 4, 2009
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Additional information
Abstract:
It is proved that the second cohomology group of the conformal algebras  and  with coefficients in any bimodule is trivial. As a result, these algebras are segregated in any extension with a nilpotent kernel.
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Additional Information:
I.
A.
Dolguntseva
Affiliation:
Sobolev Institute of Mathematics, Akademician Koptyug Prospekt 4, 630090 Novosibirsk, Russia
Email:
irina.dolgunceva@gmail.com
DOI:
10.1090/S1061-0022-09-01085-1
PII:
S 1061-0022(09)01085-1
Keywords:
Associative conformal algebra,
algebra of conformal endomorphisms,
Hochschild cohomology.
Received by editor(s):
5/FEB/2008
Posted:
November 4, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
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