A criterion on the semisimple Brauer algebras. II.

DOI10.1016/j.jcta.2005.09.005zbMath1108.16009OpenAlexW2057055444MaRDI QIDQ2500625

Mei Si, Hebing Rui

Publication date: 17 August 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2005.09.005

zbMATH Keywords

Specht modulesBrauer algebrascyclotomic Hecke algebrasbranching rulessemisimplicityEnyang conjecture

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 (18)

On the semisimplicity of the cyclotomic Brauer algebras. II. ⋮ Decomposition numbers of cyclotomic NW and BMW algebras. ⋮ Compact Schur-Weyl duality: real Lie groups and the cyclotomic Brauer algebra ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ The second fundamental theorem of invariant theory for the orthogonal group. ⋮ Recollements of self-injective algebras, and classification of self-injective diagram algebras ⋮ SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS ⋮ Representation stability for diagram algebras ⋮ On the center of the Brauer algebra. ⋮ Conjugation in Brauer algebras and applications to character theory. ⋮ On the structure of cyclotomic Nazarov-Wenzl algebras. ⋮ Decomposition numbers of Brauer algebras in non-dividing characteristic. ⋮ On the radical of Brauer algebras. ⋮ A Temperley–Lieb Analogue for the BMW Algebra ⋮ Discriminants of Brauer algebras. ⋮ The Brauer category and invariant theory ⋮ Gram determinants and semisimplicity criteria for Birman-Wenzl algebras ⋮ On endomorphisms of quantum tensor space

Cites Work

• On the semi-simplicity of cyclotomic Temperley-Lieb algebras.
• The semisimplicity of \(\omega_f^n\)
• On the structure of Brauer's centralizer algebras
• On the semisimplicity of the Brauer centralizer algebras
• Cellular algebras
• Specht modules and semisimplicity criteria for Brauer and Birman-Murakami-Wenzl algebras.
• A criterion on the semisimple Brauer algebras.
• Computing the Discriminants of Brauer's Centralizer Algebras

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