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✦   LIBER   ✦

Elements of the Representation Theory of Associative Algebras: Volume 2: Tubes and Concealed Algebras of Euclidean Type

✍ Scribed by Daniel Simson, Andrzej Skowroski


Book ID
127451480
Publisher
Cambridge University Press
Year
2007
Tongue
English
Weight
2 MB
Series
London Mathematical Society Student Texts
Edition
1
Category
Library
ISBN
0511355580

No coin nor oath required. For personal study only.

✦ Synopsis


The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study.


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## Abstract The representations of __so__(4,2) which are applicable to the perturbation treatment of one‐electron Hamiltonians of the form __H__ = __H__~0~ + Ξ»__V__ are discussed, where __H__~0~ is a hydrogenic Hamiltonian. A unified construction of the representations of __so__(2,1) and __so__(3)