2007•arXiv (Cornell University)Open access

Hochschild and cyclic (co)homology of preprojective algebras of quivers of type T

Ching-Hwa Eu

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Abstract

We calculate the additive and multiplicative structure (together with the grading) of the Hochschild homology and cohomology and the cyclic homology of preprojective algebras of types T. We also compute the calculus structure which is formed by the Hochschild homology/cohomology pair.

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What this paper is about

We calculate the additive and multiplicative structure (together with the grading) of the Hochschild homology and cohomology and the cyclic homology of preprojective algebras of types T. We also compute the calculus structure which is formed by the Hochschild homology/cohomology pair.

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Available abstract

We calculate the additive and multiplicative structure (together with the grading) of the Hochschild homology and cohomology and the cyclic homology of preprojective algebras of types T. We also compute the calculus structure which is formed by the Hochschild homology/cohomology pair.

Key concepts: Hochschild homology, Cyclic homology, Cohomology, Multiplicative function, Mathematics, Homology (biology), Pure mathematics, Khovanov homology

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