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

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

2010-05-21

arxiv.org/abs/1005.4043v1

Mathematics

Rings and Algebras

8 pages

Scientific paper

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.

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