Rigid current Lie algebras

Details Rigid current Lie algebras Rigid current Lie algebras

2006-10-16

arxiv.org/abs/math/0610478v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

A current Lie algebra is contructed from a tensor product of a Lie algebra
and a commutative associative algebra of dimension greater than 2. In this work
we are interested in deformations of such algebras and in the problem of
rigidity. In particular we prove that a current Lie algebra is rigid if it is
isomorphic to a direct product gxg...xg where g is a rigid Lie algebra.

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