- 期刊
Group Actions, Orbit Spaces, and Noncommutative Deformation Theory
Rühmatoimed, orbiitruumid ja mittekommutatiivne deformatsiooniteooria
並列摘要
Consider the action of a group G on an ordinary commutative k-variety X=Spec (A). In this note we define the category of A-G-modules and their deformation theory. We then prove that this deformation theory is equivalent to the deformation theory of modules over the noncommutative k-algebra A [G]=A#G. The classification of orbits can then be studied over a commutative ring, and we give an example of this on surface cyclic singularities.
延伸閱讀
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