English

Simple Lie algebras which generalize Witt algebras

Representation Theory 2016-09-07 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/9712293,
  title  = {Simple Lie algebras which generalize Witt algebras},
  author = {Ki-Bong Nam},
  journal= {arXiv preprint arXiv:math/9712293},
  year   = {2016}
}
R2 v1 2026-07-22T17:57:20.448Z