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

TL;DR

This paper computes the detailed Hochschild and cyclic (co)homology structures, including calculus, of preprojective algebras associated with quivers of type T, providing new algebraic insights.

Contribution

It provides explicit calculations of Hochschild and cyclic (co)homology, including additive, multiplicative, and calculus structures, for preprojective algebras of type T.

Findings

Explicit Hochschild homology and cohomology structures determined

Cyclic homology and calculus structures computed

Provides algebraic invariants for preprojective algebras of type T

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.