Maximal Tori in HH1 and the Fundamental Group

B Briggs, L Rubio y Degrassi - … Mathematics Research Notices, 2023 - academic.oup.com
We investigate maximal tori in the Hochschild cohomology Lie algebra of a finite
dimensional algebra, and their connection with the fundamental groups associated to …

Cartan–Leray spectral sequence for Galois coverings of linear categories

C Cibils, MJ Redondo - Journal of Algebra, 2005 - Elsevier
Cartan–Leray spectral sequence for Galois coverings of linear categories Page 1 Journal of
Algebra 284 (2005) 310–325 www.elsevier.com/locate/jalgebra Cartan–Leray spectral …

Penning collisions of laser-cooled metastable helium atoms

F Pereira Dos Santos, F Perales, J Léonard… - The European Physical …, 2001 - Springer
We present experimental results on the two-body loss rates in a magneto-optical trap of
metastable helium atoms. Absolute rates are measured in a systematic way for several laser …

[HTML][HTML] On blocks of defect two and one simple module, and Lie algebra structure of HH1

D Benson, R Kessar, M Linckelmann - Journal of Pure and Applied Algebra, 2017 - Elsevier
Let k be a field of odd prime characteristic p. We calculate the Lie algebra structure of the
first Hochschild cohomology of a class of quantum complete intersections over k. As a …

Structure of Hochschild cohomology of path algebras and differential formulation of Euler's polyhedron formula

L Guo, F Li - 2014 - projecteuclid.org
This article studies the Lie algebra Der(kΓ) of derivations on the path algebra kΓ of a quiver
Γ and the Lie algebra on the first Hochschild cohomology group HH1(kΓ). We relate these …

[HTML][HTML] Algebraic fundamental group and simplicial complexes

E Reynaud - Journal of Pure and Applied Algebra, 2003 - Elsevier
Algebraic fundamental group and simplicial complexes - ScienceDirect Skip to main contentSkip
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On the fundamental group of a schurian algebra

J Carlos Bustamante - Communications in Algebra, 2002 - Taylor & Francis
We show that, for a class of schurian algebras, which we call schurian almost triangular, the
fundamental group of the algebra is isomorphic to the fundamental group of an associated …

On the first Hochschild cohomology group of a cluster-tilted algebra

I Assem, MJ Redondo, R Schiffler - Algebras and Representation Theory, 2015 - Springer
Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH 1 (B)
with coefficients in the BB-bimodule B. If C is a tilted algebra such that B is the relation …

The first Hochschild cohomology group of a schurian cluster-tilted algebra

I Assem, MJ Redondo - manuscripta mathematica, 2009 - Springer
The first Hochschild cohomology group of a schurian cluster-tilted algebra Page 1 manuscripta
math. 128, 373–388 (2009) © Springer-Verlag 2008 Ibrahim Assem · María Julia Redondo The …

The classifying space of a bound quiver

JC Bustamante - Journal of Algebra, 2004 - Elsevier
We associate to a bound quiver (Q, I) a CW-complex which we denote by B (Q, I), and call
the classifying space of (Q, I). We show that the fundamental group of B (Q, I) is isomorphic …