arXiv subjects

Christopher DeCleene

Publications and source records attributed to Christopher DeCleene.

2 recordsLinked to original sources

arXiv2010

Computation of the cohomology of a family of Z_2-graded Nilpotent Algebras

In this paper we compute the cohomology of certain special cases of nilpotent algebras in a complex \zt-graded vector space of arbitrary finite dimension. These algebras are generalizations of the only two nontrivial complex 2-dimensional nilpotent algebras, one from the moduli space of $1|1$-dimensional algebras, and the other from the space of nongraded 2-dimensional algebras.

math.RA↗

arXiv2009

The moduli space of $1|1$-dimensional complex associative algebras

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.

math.RA↗