Algebras with irreducible module varieties I

Autor:	Bobiński, Grzegorz, Schröer, Jan
Rok vydání:	2017
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We call a finite-dimensional K-algebra A geometrically irreducible if for all d, all connected components of the affine scheme of d-dimensional A-modules are irreducible. We show that the geometrically irreducible algebras without loops (this includes all algebras of finite global dimension) are the hereditary algebras. We also show that truncated polynomial rings are the only geometrically irreducible local algebras. Finally, we formulate a conjectural classification of all geometrically irreducible algebras. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.05841 Zobrazit plný text záznamu View this record from Arxiv