DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS-Reference-Cited by-同舟云学术

DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS

Published:2007-02 Issue:01 Volume:09 Page:41-79
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

FIALOWSKI ALICE¹,PENKAVA MICHAEL²

Affiliation:

1. Eötvös Loránd University, Institute of Mathematics, Pázmány Péter Sétány 1/C, H-1117 Budapest, Hungary

2. University of Wisconsin, Department of Mathematics, Eau Claire, WI 54702-4004, USA

Abstract

We study the moduli space of four-dimensional ordinary Lie algebras, and their versal deformations. Their classification is well known; our focus in this paper is on the deformations, which yield a picture of how the moduli space is assembled. Surprisingly, we get a nice geometric description of this moduli space essentially as an orbifold, with just a few exceptional points.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199707002344

Reference13 articles.

1. An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras

2. Classification of Orbit Closures of 4-Dimensional Complex Lie Algebras

3. DEFORMATIONS OF LIE ALGEBRAS

4. Construction of Miniversal Deformations of Lie Algebras

5. Deformation theory of infinity algebras

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