A Hopf algebra of subword complexes

被引：5

作者：

Bergeron, Nantel ^{[1
,2
]}

Ceballos, Cesar ^{[1
,2
]}

机构：

[1] Fields Inst, Toronto, ON, Canada

[2] York Univ, Toronto, ON, Canada

来源：

ADVANCES IN MATHEMATICS | 2017年 / 305卷

关键词：

Subword complex; Hopf algebras; Cluster algebras; Associahedron; Multi-associahedron; SORTABLE ELEMENTS; POLYTOPE;

D O I：

10.1016/j.aim.2016.10.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. We present an explicit cancellation free formula for the antipode using acyclic orientations of certain graphs, and show that this Hopf algebra induces a natural non-trivial sub-Hopf algebra on c-clusters in the theory of cluster algebras. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1163 / 1201

页数：39

共 46 条

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Agniar M., 2004, ELECT J COMBIN, V11

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