The Birman-Murakami-Wenzl Algebra of Coxeter Type D
Reinhard Oldenburg
TL;DR
This paper introduces a new algebraic structure called the Birman-Murakami-Wenzl algebra of Coxeter Type D and explores its properties as a semi-simple algebra, expanding the understanding of algebraic structures related to Coxeter groups.
Contribution
It defines a generic Birman-Wenzl algebra for Coxeter Type D and analyzes its semi-simple structure, providing new insights into algebraic representations.
Findings
The algebra is shown to be semi-simple.
Structural properties of the algebra are characterized.
Connections to Coxeter group theory are established.
Abstract
The paper defines a generic Birman-Wenzl algebra of Coxeter Type D and investigates its structure as a semi-simple algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry