Cohomology of twisted tensor products
作者： Petter Andreas Bergh , Steffen Oppermann
DOI: 10.1016/J.JALGEBRA.2008.08.005
关键词: Algebra 、 Tensor product of Hilbert spaces 、 Mathematics 、 Tensor product of modules 、 Equivariant cohomology 、 Cup product 、 Tensor product of algebras 、 Tensor (intrinsic definition) 、 Cohomology ring 、 Tensor density
摘要: Abstract It is well known that the cohomology of a tensor product essentially cohomologies. We look at twisted products, and investigate to which extent this still true. give an explicit description Ext-algebra two modules, under certain additional conditions, describe essential part Hochschild ring product. As application, we characterize precisely when groups over quantum complete intersection are finitely generated ring. Moreover, both for intersections in related cases obtain lower bound representation dimension algebra.
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