Classification of commutative algebras and tube realizations of hyperquadrics

Details Classification of commutative algebras and tube realizations of hyperquadrics Classification of commutative algebras and tube realizations of hyperquadrics

2009-06-30

arxiv.org/abs/0906.5549v2

Mathematics

Complex Variables

24 pages

Scientific paper

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.

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