Brauer algebras of type C
Copyright policy )Brauer algebras of type C
For each natural number n greater than 1, we define an algebra satisfying many properties that one might expect to hold for a Brauer algebra of type Cn. The monomials of this algebra correspond to scalar multiples of symmetric Brauer diagrams on 2n strands. The algebra is shown to be free of rank the number of such diagrams and cellular, in the sense of Graham and Lehrer.
- Technical University Eindhoven Netherlands
- Australian Catholic University Australia
- Eindhoven University of Technology Netherlands
semisimple algebras, Algebra and Number Theory, root systems, Coxeter groups, Braid groups; Artin groups, Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects), Temperley-Lieb algebras, BMW algebras, FOS: Mathematics, Representations of quivers and partially ordered sets, cellular algebras, associative algebras, Brauer algebras, Representation Theory (math.RT), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Birman-Murakami-Wenzl algebras, Mathematics - Representation Theory, symmetric Brauer diagrams
semisimple algebras, Algebra and Number Theory, root systems, Coxeter groups, Braid groups; Artin groups, Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects), Temperley-Lieb algebras, BMW algebras, FOS: Mathematics, Representations of quivers and partially ordered sets, cellular algebras, associative algebras, Brauer algebras, Representation Theory (math.RT), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Birman-Murakami-Wenzl algebras, Mathematics - Representation Theory, symmetric Brauer diagrams
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