Hyperoctahedral Schur algebras

DOI10.1006/jabr.1996.6935zbMath0965.20006OpenAlexW2045111359MaRDI QIDQ1359035

Richard M. Green

Publication date: 6 May 2001

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:e1203cb0-fe92-403b-b56e-d5b03c4698aa

zbMATH Keywords

Weyl groupshyperoctahedral groupscentralizing algebrasHecke algebras of type \(B\)

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (21)

On tensor spaces over Hecke algebras of type \(B_n\). ⋮ QUASI-SPLIT SYMMETRIC PAIRS OF AND THEIR SCHUR ALGEBRAS ⋮ Vust's theorem and higher level Schur-Weyl duality for types \(B\), \(C\) and \(D\) ⋮ Positivity VS Negativity of Canonical Bases ⋮ A framization of the Hecke algebra of type B ⋮ \(Q\)-Schur algebras corresponding to Hecke algebras of type \textsf{B} ⋮ \(\imath\)Schur duality and Kazhdan-Lusztig basis expanded ⋮ Affine flag varieties and quantum symmetric pairs ⋮ Polynomial functors and two-parameter quantum symmetric pairs ⋮ Quasi-hereditary slim cyclotomic \(q\)-Schur algebras ⋮ A new realisation of the \(\imath\)-quantum group \(\mathbf{U}^{\jmath}(N)\) ⋮ Geometric Schur duality of classical type ⋮ Geometric Schur duality of classical type, II ⋮ On the Affine Schur Algebra of TypeA ⋮ Slim cyclotomic \(q\)-Schur algebras ⋮ A braids and ties algebra of type \texttt{B} ⋮ Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras ⋮ The affine \(q\)-Schur algebra ⋮ Quasi-split symmetric pairs of 𝑈(𝔰𝔩_{𝔫}) and Steinberg varieties of classical type ⋮ THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE ⋮ Affine Hecke algebras and quantum symmetric pairs

Cites Work

• Polynomial representations of \(GL_n\)
• Representations of Hecke algebras of type \(B_n\)
• Decomposition numbers of finite classical groups for linear primes.
• Quantum GL_n
• The q ‐Schur Algebra
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