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The first Hochschild (co)homology when adding arrows to a bound quiver algebra

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journal contribution
posted on 2020-04-24, 12:43 authored by Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Sibylle Schroll, Andrea Solotar
We provide a formula for the change of the dimension of the first Hoch\-schild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which relates the first cohomology vector spaces of the algebras to the first relative cohomology. Moreover, we show that the first Hochschild homologies are isomorphic when adding new arrows.

History

Citation

Journal of Algebra, Volume 540, 15 December 2019, Pages 63-77

Author affiliation

Department of Mathematics

Version

  • AM (Accepted Manuscript)

Published in

Journal of Algebra

Volume

540

Pagination

63-77

Publisher

Elsevier

issn

0021-8693

Copyright date

2019

Available date

2019-09-06

Publisher version

https://www.sciencedirect.com/science/article/pii/S0021869319304879

Language

en

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