K-theoretic analog of Postnikov Shapiro algebra distinguishes graphs

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:148

Article

Nenashev, Gleb¹  Shapiro, Boris¹ 

[1] Univ Stockholm, Dept Math, S-10691 Stockholm, Sweden

关键词: Spanning forests and trees;    Commutative algebras;    Filtered algebras;   

DOI  :  10.1016/j.jcta.2017.01.001

来源: Elsevier

【 摘 要 】

hi this paper we study a filtered K-theoretical analog of a graded algebra associated to any loopless graph G which was introduced in [5]. We show that two such filtered algebras are isomorphic if and only if their graphs are isomorphic. We also study a large family of filtered generalizations of the latter graded algebra which includes the above K-theoretical analog. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free