Linear Representations of Partially Ordered Sets and Vector Space Categories
| Author | : Daniel Simson |
| Publisher | : CRC Press |
| Total Pages | : 516 |
| Release | : 1993-01-01 |
| ISBN-10 | : 2881248284 |
| ISBN-13 | : 9782881248283 |
| Rating | : 4/5 (84 Downloads) |
Download or read book Linear Representations of Partially Ordered Sets and Vector Space Categories written by Daniel Simson and published by CRC Press. This book was released on 1993-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.
