Autor:	Assem, Ibrahim, Bustamante, Juan Carlos, Igusa, Kiyoshi, Schiffler, Ralf
Rok vydání:	2012
Předmět:	Mathematics - Representation Theory Mathematics - K-Theory and Homology Mathematics - Rings and Algebras 16E40
Druh dokumentu:	Working Paper
Popis:	Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation extension of C by E= Ext2(DC,C), then we prove that HH1(B) is isomorphic, as a vector space, to the direct sum of HH1(C) with HH1(B,E). This yields homological interpretations for results of the first and the fourth author with M.J. Redondo. Comment: Minor changes with respect to version 1. To appear in Journal of Algebra and Computation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1209.2146 Zobrazit plný text záznamu View this record from Arxiv