ON THE CLASSIFICATION OF MOORE ALGEBRAS AND THEIR DEFORMATIONS

@article{Hamilton2003ONTC,
  title={ON THE CLASSIFICATION OF MOORE ALGEBRAS AND THEIR DEFORMATIONS},
  author={Alastair Hamilton},
  journal={Homology, Homotopy and Applications},
  year={2003},
  volume={6},
  pages={87-107}
}
  • A. Hamilton
  • Published 2003
  • Mathematics
  • Homology, Homotopy and Applications
In this paper we will study deformations of A1-algebras. We will also answer questions relating to Moore algebras which are one of the simplest nontrivial examples of an A1-algebra. We will compute the truncated Hochschild cohomology of odd Moore algebras and classify them up to a unital weak equivalence. We will construct miniversal deformations of particular Moore algebras and relate them to the universal odd and even Moore algebras. Finally we will conclude with an investigation of formal… Expand
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