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math.KT2013★ 3 cited
Hodge decomposition for elliptic complexes over unital -algebras
Svatopluk Krýsl
For a certain class of complexes of pre-Hilbert -modules, we prove that their cohomology groups equipped with a canonical quotient structure are again pre-Hilbert -modules an…
math.DG2013★ 8 cited
Cohomology of the de Rham complex twisted by the oscillatory representation
Svatopluk Krýsl
We introduce a Hilbert -module structure on the higher oscillatory module, where denotes the -algebra of bounded endomorphisms of the basic oscillatory module. We also…