IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
The first Hochschild (co)homology when adding arrows to a bound quiver algebra
Autor/es:
LANZILOTTA, MARCELO; SOLOTAR, ANDREA; CIBILS, CLAUDE; SCHROLL, SIBYLLE; MARCOS, EDUARDO N.
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2019 vol. 540 p. 63 - 77
ISSN:
0021-8693
Resumen:
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.
