VALUED DEFORMATIONS OF ALGEBRAS-Reference-Cited by-同舟云学术

VALUED DEFORMATIONS OF ALGEBRAS

Published:2004-12 Issue:04 Volume:03 Page:345-365
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

GOZE MICHEL¹,REMM ELISABETH¹

Affiliation:

1. Université de Haute Alsace, F.S.T., 4, rue des Frères Lumière — 68093 MULHOUSE, France

Abstract

We develop a notion of deformations using a valuation ring as a ring of coefficients. This allows us in particular to consider the classical Gerstenhaber deformations of associative or Lie algebras as valued deformations and to solve the equation of deformations in a polynomial framework. We consider also deformations of the enveloping algebra of a rigid Lie algebra and we define valued deformations for some classes of non associative algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498804000915

Reference12 articles.

1. DEFORMATIONS OF LIE ALGEBRAS

2. Versal Deformation of the Lie Algebra L2

3. Construction of Miniversal Deformations of Lie Algebras

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