Classification of commutative algebras and tube realizations of hyperquadrics
Complex Variables
2010-07-09 v2 Rings and Algebras
Abstract
In this paper we classify up to affine equivalence all local tube realizations of real hyperquadrics in C^n. We show that this problem can be reduced to the classification, up to isomorphism, of commutative nilpotent real and complex algebras. We also develop some structure theory for commutative nilpotent algebras over arbitrary fields of characteristic zero.
Keywords
Cite
@article{arxiv.0906.5549,
title = {Classification of commutative algebras and tube realizations of hyperquadrics},
author = {G. Fels and W. Kaup},
journal= {arXiv preprint arXiv:0906.5549},
year = {2010}
}
Comments
24 pages