Some algebraic applications of graded categorical group theory.

Cegarra, A.M.; Garzón, A.R.

Displaying similar documents to “Some algebraic applications of graded categorical group theory.”

Diagonalizably linearized coherent sheaves

H. Andreas Nielsen (1974)

Bulletin de la Société Mathématique de France

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Equivariant formal group laws and complex oriented cohomology theories.

Greenlees, J.P.C. (2001)

Homology, Homotopy and Applications

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Graded morphisms of $G$ -modules

Hanspeter Kraft, Claudio Procesi (1987)

Annales de l'institut Fourier

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Let $A$ be finite dimensional $C$ -algebra which is a complete intersection, i.e. $A = C [X_{1}, ..., X_{n}] / (f_{1}, ..., f_{n})$ whith a regular sequences $f_{1}, ..., f_{n}$ . Steve Halperin conjectured that the connected component of the automorphism group of such an algebra $A$ is solvable. We prove this in case $A$ is in addition graded and generated by elements of degree 1.

Equivariant one-parameter deformations of associative algebra morphisms

Raj Bhawan Yadav (2023)

Czechoslovak Mathematical Journal

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We introduce equivariant formal deformation theory of associative algebra morphisms. We also present an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms. We discuss some examples of equivariant deformations and use the Maurer-Cartan equation to characterize equivariant deformations.