TL;DR
This paper introduces a new algebra related to the Coxeter group of type I2n, derived as a twisted subalgebra of the Brauer algebra of type A_{n-1}, and explores its properties.
Contribution
It defines a novel algebra associated with type I2n Coxeter groups as a twisted subalgebra within the Brauer algebra of type A_{n-1} and analyzes its properties.
Findings
Identification of the algebra as a twisted subalgebra of Brauer algebra A_{n-1}
Description of key algebraic properties
Establishment of connections to Coxeter groups
Abstract
We will present an algebra related to the Coxeter group of type I2n which can be taken as a twisted subalgebra in Brauer algebra of type A_{n-1}. Also we will describe some properties of this algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics