Applications of the Groebner Basis Theory to the computation of the Hochschild coh...
Structures on the Hochschild cohomology and homology for associative algebras
Stable vector bundles on Pn, cohomology of monads and quiver representations.
| Full text | |
| Author(s): |
Cibils, Claude
[1]
;
Lanzilotta, Marcelo
[2]
;
Marcos, Eduardo N.
[3]
;
Schroll, Sibylle
[4]
;
Solotar, Andrea
[5, 6]
Total Authors: 5
|
| Affiliation: | [1] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, CNRS, Montpellier - France
[2] Univ Republica, Fac Ingn, Inst Matemat & Estadist Rafael Laguardia, Montevideo - Uruguay
[3] Univ Sao Paulo, Dept Matemat, IME, Sao Paulo - Brazil
[4] Univ Leicester, Dept Math, Leicester, Leics - England
[5] Univ Buenos Aires, Fac Ciencias Exactas & Nat, IMAS CONICET, Buenos Aires, DF - Argentina
[6] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF - Argentina
Total Affiliations: 6
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 540, p. 63-77, DEC 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We provide a formula for the change of the dimension of the first Hochschild 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. (C) 2019 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |