A decomposition of the descent algebra of the hyperoctahedral group. I, II
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Publication:1188128
DOI10.1016/0021-8693(92)90238-HzbMath0798.20008OpenAlexW2017579248MaRDI QIDQ1188128
Nantel Bergeron, François Bergeron
Publication date: 13 August 1992
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(92)90238-h
symmetric groupsdecompositionprimitive idempotentsfiltrationsradicalsSolomon descent algebrahyperoctahedral groupsquasi-idealsdoubly graded free Lie algebras
Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Subgroups of symmetric groups (20B35)
Related Items (20)
Hyperoctahedral decomposition of Hochschild homology ⋮ The peak algebra and the descent algebras of types B and D ⋮ Enriched \(P\)-partitions and peak algebras ⋮ Representation theory of the higher-order peak algebras ⋮ \(r\)-Qsym is free over Sym ⋮ The colored Eulerian descent algebra ⋮ On the structure constants of the descent algebra of the hyperoctahedral group ⋮ Properties of the descent algebras of type \(D\). ⋮ On the quiver presentation of the descent algebra of the symmetric group. ⋮ Orthogonal idempotents in the descent algebra of \(B_ n\) and applications ⋮ A decomposition of the descent algebra of a finite Coxeter group ⋮ Symbolic manipulation for the study of the descent algebra of finite Coxeter groups ⋮ On the quiver of the descent algebra. ⋮ A new link between the descent algebra of type B, domino tableaux and Chow's quasisymmetric functions ⋮ A symmetry of the descent algebra of a finite Coxeter group. ⋮ New results on the peak algebra. ⋮ A proof of Solomon's rule ⋮ A multiplication rule for the descent algebra of type \(D\) ⋮ Cyclic descents and \(P\)-partitions. ⋮ On the quiver presentation of the descent algebra of the hyperoctahedral group.
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