On the semi-simplicity of the cyclotomic Brauer algebras.

DOI10.1016/j.jalgebra.2004.02.017zbMath1068.16013OpenAlexW4205986386MaRDI QIDQ1879641

Hebing Rui, Weihua Yu

Publication date: 23 September 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.017

zbMATH Keywords

Specht modulescyclotomic Hecke algebrasbranching rulescyclotomic Brauer algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (14)

On the semisimplicity of the cyclotomic Brauer algebras. II. ⋮ Compact Schur-Weyl duality: real Lie groups and the cyclotomic Brauer algebra ⋮ Cellularity of diagram algebras as twisted semigroup algebras. ⋮ Decomposition numbers for Brauer algebras of type \(G(m,p,n)\) in characteristic zero. ⋮ Twisted split category algebras as quasi-hereditary algebras. ⋮ Cyclotomic Extensions of Diagram Algebras ⋮ Quasi-hereditary twisted category algebras. ⋮ Discriminants of Brauer algebras. ⋮ Cyclotomic Birman-Wenzl-Murakami algebras. II: Admissibility relations and freeness. ⋮ Double cyclotomic symmetric groups. ⋮ On the semi-simplicity of cyclotomic Temperley-Lieb algebras. ⋮ The representations of cyclotomic BMW algebras. ⋮ Affine Birman–Wenzl–Murakami algebras and tangles in the solid torus ⋮ On simple modules over twisted finite category algebras

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