Versal deformation of the Lie algebra $L_2$

A. Fialowski; Gerhard F. Post

Versal deformation of the Lie algebra $L_2$

A. Fialowski, Gerhard F. Post

Discrete Mathematics and Mathematical Programming

Research output: Book/Report › Report › Other research output

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Abstract

We investigate deformations of the infinite dimensional vector field Lie algebra spanned by the fields $e_i = z^{i+1}d/dz$, where $i \ge 2 $. The goal is to describe the base of a ``versal'' deformation; such a versal deformation induces all the other nonequivalent deformations and solves the deformation problem completely.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Publication status	Published - 1999

Publication series

Name	Memorandum / Department of Applied Mathematics
Publisher	Department of Applied Mathematics, University of Twente
No.	1490
ISSN (Print)	0169-2690

Keywords

MSC-17B66
MSC-17B56
EWI-3310
IR-65679

Access to Document

Cite this

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title = "Versal deformation of the Lie algebra $L_2$",

abstract = "We investigate deformations of the infinite dimensional vector field Lie algebra spanned by the fields $e_i = z^{i+1}d/dz$, where $i \ge 2 $. The goal is to describe the base of a ``versal'' deformation; such a versal deformation induces all the other nonequivalent deformations and solves the deformation problem completely.",

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author = "A. Fialowski and Post, {Gerhard F.}",

note = "Imported from MEMORANDA",

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series = "Memorandum / Department of Applied Mathematics",

publisher = "University of Twente, Department of Applied Mathematics",

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N2 - We investigate deformations of the infinite dimensional vector field Lie algebra spanned by the fields $e_i = z^{i+1}d/dz$, where $i \ge 2 $. The goal is to describe the base of a ``versal'' deformation; such a versal deformation induces all the other nonequivalent deformations and solves the deformation problem completely.

AB - We investigate deformations of the infinite dimensional vector field Lie algebra spanned by the fields $e_i = z^{i+1}d/dz$, where $i \ge 2 $. The goal is to describe the base of a ``versal'' deformation; such a versal deformation induces all the other nonequivalent deformations and solves the deformation problem completely.

KW - MSC-17B66

KW - MSC-17B56

KW - EWI-3310

KW - IR-65679

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Versal deformation of the Lie algebra $L_2$

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -