In this article we construct a cochain complex of a complex Clifford algebra with coefficients in itself in a combinatorial fashion and we call the corresponding cohomology by {\it Clifford cohomology.} We show that {\it Clifford cohomology} controls the deformation of a complex Clifford algebra.Comment: Comments are welcom
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....
Additive deformations of bialgebras in the sense of Wirth are deformations of the multiplication map...
AbstractIn 1962, Barr exhibited an idempotent in the rational group algebra of the symmetric group w...
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory o...
We describe the Gerstenhaber bracket structure on Hochschild cohomology of Koszul quiver algebras in...
We review several techniques that twist an algebra's multiplicative structure. We first consider twi...
We introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver wi...
We define a family of graded coproducts for Clifford algebras over finite dimensional real or comple...
In his pioneering work on deformation theory of associative algebras, Gerstenhaber created a bracket...
In his pioneering work on deformation theory of associative algebras, Gerstenhaber created a bracket...
We define a family of graded coproducts for Clifford algebras over finite dimensional real or comple...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....
Additive deformations of bialgebras in the sense of Wirth are deformations of the multiplication map...
AbstractIn 1962, Barr exhibited an idempotent in the rational group algebra of the symmetric group w...
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory o...
We describe the Gerstenhaber bracket structure on Hochschild cohomology of Koszul quiver algebras in...
We review several techniques that twist an algebra's multiplicative structure. We first consider twi...
We introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver wi...
We define a family of graded coproducts for Clifford algebras over finite dimensional real or comple...
In his pioneering work on deformation theory of associative algebras, Gerstenhaber created a bracket...
In his pioneering work on deformation theory of associative algebras, Gerstenhaber created a bracket...
We define a family of graded coproducts for Clifford algebras over finite dimensional real or comple...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:First three sections of this overview paper cover classical topics of deformation theory of ...
summary:The cotangent cohomology of {\it S. Lichtenbaum} and {\it M. Schlessinger} [Trans. Am. Math....