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.
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页码：179 / 198
页数：20
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