The first cohomology group of the trivial extension of a monomial algebra
Claude Cibils, Maria Julia Redondo, Manuel Saorin
Abstract
Given a finite--dimensional monomial algebra A we consider the trivial extension TA and provide formulae, depending on the characteristic of the field, for the dimensions of the summands HH1(A) and (DA) of the first Hochschild cohomology group HH1(TA). From these a formula for the dimension of HH1(TA) can be derived.
Create a lesson
Related papers
Koszul duality for boundary categories
Yuan Gao, Zhen Gao
Counterexamples to torsion-freeness in the K-theory of crystallographic group C*-algebras
Cristian Sarmiento, Mario Velasquez
The coanalyticity of the reduced K-theory on modules over free tensor algebras of dualizable t-categories
Li He
Defect TQFTs, the Generalized Cobordism Hypothesis, and Algebraic K-Theory
Keyao Peng
Analytic Kasparov product for non-separable C*-algebras
Ikhan Choi
Discretisation in algebraic K-theory of independent ample groupoids and their Steinberg algebras
Guillermo Cortiñas, Xin Li