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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Stable representations of posets

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Author(s):
Futorny, Vyacheslav [1] ; Iusenko, Kostiantyn [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 223, n. 12, p. 5251-5278, DEC 2019.
Web of Science Citations: 0
Abstract

The purpose of this paper is to study stable representations of partially ordered sets (posets) and compare it to the well known theory for quivers. In particular, we prove that every indecomposable representation of a poset of finite type is stable with respect to some weight and construct that weight explicitly in terms of the dimension vector. We show that if a poset is primitive then Coxeter transformations preserve stable representations. When the base field is the field of complex numbers we establish the connection between the polystable representations and the unitary chi-representations of posets. This connection explains the similarity of the results obtained in the series of papers. (C) 2019 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support type: Research Projects - Thematic Grants
FAPESP's process: 15/00116-4 - Stable representations of posets and their applications
Grantee:Kostiantyn Iusenko
Support type: Regular Research Grants