VERSAL DEFORMATION THEORY OF ALGEBRAS OVER A QUADRATIC OPERAD

被引：3

作者：

Fialowski, Alice ^{[1
]}

Mukherjee, Goutam ^{[2
]}

Naolekar, Anita ^{[3
]}

机构：

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

[2] Indian Stat Inst, Stat Math Unit, Kolkata 700108, W Bengal, India

[3] Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2014年 / 16卷 / 01期

关键词：

operad; algebra; cohomology; versal; deformation; obstruction; convolution;

D O I：

10.4310/HHA.2014.v16.n1.a11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop deformation theory of algebras over quadratic operads where the parameter space is a commutative local algebra. We also give a construction of a distinguised deformation of an algebra over a quadratic operad with a complete local algebra as its base-the so-called versal deformation-which induces all other deformations of the given algebra.

引用

页码：179 / 198

页数：20

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