Deformations and contractions of algebraic structures

被引：6

作者：

Fialowski, Alice ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Inst Math, H-1117 Budapest, Hungary

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2014年 / 286卷 / 01期

关键词：

KRICHEVER-NOVIKOV TYPE; LIE-ALGEBRAS; RINGS;

D O I：

10.1134/S0081543814060145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the basic notions of versal deformation theory of algebraic structures and compare it with the analytic theory. As a special case, we consider the notion of versal deformation used by Arnold. With the help of versal deformation we get a stratification of the moduli space into projective orbifolds. We compare this with Arnold's stratification in the case of similarity of matrices. The other notion we discuss is the opposite notion of contraction.

引用

页码：240 / 252

页数：13

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