Hochschild cohomology of triangular matrix algebras
classification
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math.RA
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hochschildcohomologymatrixtriangularalgebraalgebrascomponentexact
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We prove the existence of two long exact sequences relating the Hochschild cohomology of a triangular matrix algebra with the Hochschild homology of its component subalgebras. We also study the structure of the maps of the first sequence.
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