Topic
Algebra representation
About: Algebra representation is a research topic. Over the lifetime, 10441 publications have been published within this topic receiving 291028 citations. The topic is also known as: representation of an algebra & representations of an algebra.
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4,987 citations
Book•
01 Jan 1962
TL;DR: In this paper, the authors present a group theory representation and modular representation for algebraic number theory, including Semi-Semi-Simple Rings and Group Algebras, including Frobenius Algebraic numbers.
Abstract: Notation Background from Group Theory Representations and Modules Algebraic Number Theory Semi-Simple Rings and Group Algebras Group Characters Induced Characters Induced Representation Non-Semi-Simple Rings Frobenius Algebras Splitting Fields and Separable Algebras Integral Representations Modular Representations Index
2,778 citations
TL;DR: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced in this article, and its structure and representations are studied in the simplest case g=sl(2).
Abstract: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced. Its structure and representations are studied in the simplest case g=sl(2). It is then applied to determine the eigenvalues of the trigonometric solution of the Yang-Baxter equation related to sl(2) in an arbitrary finite-dimensional irreducible representation.
2,767 citations