Simple Lie algebras which generalize Witt algebras

Details Simple Lie algebras which generalize Witt algebras Simple Lie algebras which generalize Witt algebras

1997-12-30

arxiv.org/abs/math/9712293v1

Mathematics

Representation Theory

Scientific paper

We introduce a new class of simple Lie algebras $W(n,m)$ that generalize the
Witt algebra by using "exponential" functions, and also a subalgebra
$W^*(n,m)$ thereof; and we show each derivation of $W^*(1,0)$ can be written
as a sum of an inner derivation and a scalar derivation. The Lie algebra
$W(n,m)$ is $Z$-graded and is infinite growth.

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