Linear representations of partially ordered sets and vector space categories

✍ Scribed by Simson, Daniel

Publisher: Gordon and Breach Science Publishers, Routledge
Year: 1993
Tongue: English
Leaves: 514
Series: Algebra logic and applications 4
Edition: 0
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Linear Representations of Partially Orde

📁 Linear Representations of Partially Ordered Sets and Vector Space Categories

✍ Daniel Simson 📂 Library 📅 1993 🏛 Gordon and Breach 🌐 English

Partially Ordered Linear Topological Spa

📁 Partially Ordered Linear Topological Spaces

✍ Isaac Namioka 📂 Library 📅 1974 🏛 Amer Mathematical Society 🌐 English

Ordered vector spaces and linear operato

📁 Ordered vector spaces and linear operators

✍ Romulus Cristescu, R. Cristescu 📂 Library 📅 1976 🏛 Abacus Press, Editura Academiei;Routledge;Abacus 🌐 English, Romanian

Ordered Vector Spaces and Linear Operato

📁 Ordered Vector Spaces and Linear Operators

✍ R. Cristescu 📂 Library 📅 1976 🏛 Taylor & Francis 🌐 English

Abelian Groups and Representations of Fi

📁 Abelian Groups and Representations of Finite Partially Ordered Sets

✍ David M. Arnold 📂 Library 📅 2000 🏛 Springer 🌐 English

The theme of this book is an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classificatio

Abelian Groups and Representations of Fi

📁 Abelian Groups and Representations of Finite Partially Ordered Sets

✍ Arnold, David M 📂 Library 📅 2000 🏛 Springer 🌐 English