The Coxeter polynomial for a one point extension algebra

Autor:	Dieter Happel
Rok vydání:	2009
Předmět:	Filtered algebra Combinatorics Algebra Algebra and Number Theory Coxeter complex Coxeter group Artin group Longest element of a Coxeter group Algebraically closed field Point group Coxeter element Mathematics
Zdroj:	Journal of Algebra. 321:2028-2041
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2009.01.017
Popis:	Let Λ be a finite-dimensional algebra over an algebraically closed field k of finite global dimension. Let M be a finitely generated Λ-module and let Γ=Λ[M] be the one point extension algebra. We show how to compute the Coxeter polynomial for Γ from the Coxeter polynomial of Λ and homological invariants of M.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f13f0305e0097a618e21fe61180d540b https://doi.org/10.1016/j.jalgebra.2009.01.017 Zobrazit plný text záznamu Full Text from ScienceDirect