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

Autor:	Cibils, Claude, Lanzilotta, Marcelo, Marcos, Eduardo N., Schroll, Sibylle, Solotar, Andrea
Rok vydání:	2019
Předmět:	Mathematics - K-Theory and Homology Mathematics - Representation Theory 18G25 16E40 16E30 18G15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 17 pages - small changes made
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.03565 Zobrazit plný text záznamu View this record from Arxiv