A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
From MaRDI portal
Publication:1333228
DOI10.1006/aima.1994.1057zbMath0840.20007OpenAlexW1996321859MaRDI QIDQ1333228
Publication date: 30 June 1996
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.1994.1057
Related Items (only showing first 100 items - show all)
Lusztig's isomorphism theorem for cellular algebras. ⋮ Proof of Varagnolo-Vasserot conjecture on cyclotomic categories \(\mathcal{O}\) ⋮ On quantized decomposition maps for graded algebras ⋮ Semisimple representations of alternating cyclotomic Hecke algebras. ⋮ On simple modules of cyclotomic quiver Hecke algebras of type A ⋮ On the semi-simplicity of the cyclotomic Brauer algebras. ⋮ Constructible characters and canonical bases ⋮ On double centralizer properties between quantum groups and Ariki-Koike algebras. ⋮ Modular representations of Hecke algebras of type \(G(p,p,n)\). ⋮ On decomposition matrices for graded algebras. ⋮ On Foulkes characters ⋮ The number of simple modules for the Hecke algebras of type \(G(r,p,n)\) (with an appendix by Xiaoyi Cui). ⋮ Matrix units and generic degrees for the Ariki-Koike algebras. ⋮ The freeness and trace conjectures for parabolic Hecke subalgebras ⋮ Kazhdan constants of some colored permutation groups. ⋮ Modified Nash triviality of a family of zero-sets of weighted homogeneous polynomial mappings ⋮ Lattice extensions of Hecke algebras ⋮ Walks on graphs and their connections with tensor invariants and centralizer algebras ⋮ Weights of multipartitions and representations of Ariki-Koike algebras. ⋮ Two-sided cells in type \(B\) (asymptotic case). ⋮ A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras. ⋮ A Schur-Weyl duality approach to walking on cubes ⋮ Standard multipartitions and a combinatorial affine Schur-Weyl duality ⋮ Proof of the modular branching rule for cyclotomic Hecke algebras. ⋮ A recursive rule for Kazhdan-Lusztig characters ⋮ Fusion procedure for cyclotomic BMW algebras ⋮ Cellular algebras ⋮ On decomposition numbers of the cyclotomic \(q\)-Schur algebras. ⋮ A non-recursive criterion for weights of a highest-weight module for an affine Lie algebra ⋮ On the classification of finite dimensional irreducible modules for affine BMW algebras. ⋮ Reduced words and a length function for \(G(e,1,n)\) ⋮ The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\). ⋮ An inductive approach to representations of complex reflection groups \(G(m,1,n)\). ⋮ \(W\)-graph ideals. ⋮ Nil-Coxeter algebras and nil-Ariki-Koike algebras. ⋮ On a generalisation of the Dipper-James-Murphy conjecture ⋮ The mirabolic Hecke algebra. ⋮ The Ariki-Terasoma-Yamada tensor space and the blob algebra. ⋮ Generalised canonical basic sets for Ariki-Koike algebras ⋮ Remarks on cyclotomic and degenerate cyclotomic BMW algebras. ⋮ \(\mathbb{Z}_2\)-graded Clifford system in the Hecke algebra of type \(B_n\). ⋮ Flat connections and Brauer type algebras. ⋮ The cubic Hecke algebra on at most 5 strands. ⋮ The representations of cyclotomic BMW algebras. II. ⋮ Cyclotomic Hecke algebras of \(G(r,p,n)\). ⋮ The blob algebra in positive characteristic. ⋮ Kazhdan-Lusztig cells and Robinson-Schensted correspondence. ⋮ Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer) ⋮ Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight. ⋮ Restricting Specht modules of cyclotomic Hecke algebras ⋮ Crystals from categorified quantum groups ⋮ Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras. ⋮ On the representation theory of wreath products of finite groups and symmetric groups ⋮ Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases ⋮ Non-vanishing Gram determinants for cyclotomic Nazarov-Wenzl and Birman-Murakami-Wenzl algebras. ⋮ Stuttering blocks of Ariki-Koike algebras ⋮ On the structure of cyclotomic Nazarov-Wenzl algebras. ⋮ Induced representations and traces for chains of affine and cyclotomic Hecke algebras. ⋮ On the action of Ariki-Koike algebras on tensor space. ⋮ Morita equivalence for cyclotomic BMW algebras. ⋮ Schur elements for the Ariki-Koike algebra and applications. ⋮ A Frobenius formula for the characters of Ariki-Koike algebras ⋮ A combinatorial categorification of the tensor product of the Kirillov-Reshetikhin crystal \(B^{1,1}\) and a fundamental crystal ⋮ The BMR freeness conjecture for the first two families of the exceptional groups of rank 2 ⋮ On the structure of cyclotomic nilHecke algebras ⋮ Proof of the BMR conjecture for \(G_{20}\) and \(G_{21}\) ⋮ The BMM symmetrising trace conjecture for groups \(G_{4}\), \(G_{5}\), \(G_{6}\), \(G_{7}\), \(G_{8}\) ⋮ Erdős-Ko-Rado theorem for irreducible imprimitive reflection groups ⋮ Cellularity and the Jones basic construction. ⋮ Fischer matrices for generalised symmetric groups -- a combinatorial approach ⋮ Cyclotomic Birman-Wenzl-Murakami algebras. II: Admissibility relations and freeness. ⋮ Clifford theory on rational Cherednik algebras of imprimitive groups ⋮ On cellular algebras with Jucys Murphy elements. ⋮ Double cyclotomic symmetric groups. ⋮ Comparison of admissibility conditions for cyclotomic Birman-Wenzl-Murakami algebras. ⋮ Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\). ⋮ Specht modules labelled by hook bipartitions. I ⋮ A Specht filtration of an induced Specht module. ⋮ The representations of cyclotomic BMW algebras. ⋮ On the Mackey formulas for cyclotomic Hecke algebras and categories \(\mathcal{O}\) of rational Cherednik algebras ⋮ Transition matrices between Young's natural and seminormal representations ⋮ Schur-Weyl duality, Verma modules, and row quotients of Ariki-Koike algebras ⋮ Symmetric cyclotomic Hecke algebras ⋮ The Hecke group algebra of a Coxeter group and its representation theory. ⋮ Schur-Weyl reciprocity for Ariki-Koike algebras ⋮ The reduced Birman-Wenzl algebra of Coxeter type B ⋮ Graded decomposition numbers for cyclotomic Hecke algebras. ⋮ On endomorphism algebras arising from Hecke algebras ⋮ Borel type subalgebras of the \(q\text{-Schur}^m\) algebras ⋮ Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras. ⋮ A computational approach to Shephard groups ⋮ Filtrations on the Mackey decomposition for cyclotomic Hecke algebras. ⋮ \(q\)-centralizer algebras for spin groups ⋮ Towards spetses. I ⋮ Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras ⋮ Families of characters of cyclotomic Hecke algebras. ⋮ Robinson--Schensted--Knuth insertion and characters of cyclotomic Hecke algebras ⋮ Affine Hecke algebras and generalized standard Young tableaux. ⋮ Seminormal forms and cyclotomic quiver Hecke algebras of type \(A\). ⋮ On the seminormal bases and dual seminormal bases of the cyclotomic Hecke algebras of type \(G (\ell,1,n)\)
This page was built for publication: A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations