THE MODULI SPACE OF 1|1-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS-Reference-Cited by-同舟云学术

THE MODULI SPACE OF 1|1-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS

Published:2012-08-29 Issue:05 Volume:14 Page:1250030
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BODIN DEREK¹,DECLEENE CHRISTOPHER²,HAGER WILLIAM³,OTTO CAROLYN²,PENKAVA MICHAEL²,PHILLIPSON MITCH⁴,STEINBACH RYAN⁵,WEBER ERIC⁶

Affiliation:

1. University of Minnesota, Minneapolis, MN 55455, USA

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

3. University of Iowa, Iowa City, IA 52245-4027, USA

4. Department of Mathematics, Texas A&M University, 3368 TAMU, College Station, TX 77843-3368, USA

5. University of Wisconsin-Madison, Madison, WI 53706-1796, USA

6. School of Mathematical Sciences, Arizona State University, Tempe, AZ 85287-1804, USA

Abstract

In this paper, we study the moduli space of 1|1-dimensional complex associative algebras. We give a complete calculation of the cohomology of every element in the moduli space, as well as compute their versal deformations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199712500307

Reference16 articles.

1. Classification and versal deformations of $L_{\infty}$ algebras on a $2\vert 1$-dimensional space

2. Comparison of 3-Dimensional ℤ-Graded and ℤ2-GradedL∞Algebras

3. Construction of Miniversal Deformations of Lie Algebras

4. Deformation theory of infinity algebras

5. VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L∞ ALGEBRAS

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