The Ariki-Terasoma-Yamada tensor space and the blob algebra.

DOI10.1016/j.jalgebra.2010.08.018zbMath1235.20005arXivmath/0505278OpenAlexW2029856049MaRDI QIDQ619021

Steen Ryom-Hansen

Publication date: 21 January 2011

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

Full work available at URL: https://arxiv.org/abs/math/0505278

zbMATH Keywords

combinatoricsHecke algebrasAriki-Koike algebrasrepresentation theorypermutation modulesAriki-Terasoma-Yamada tensor modulesblob algebrasdual Specht modules

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of orders, lattices, algebras over commutative rings (16G30)

Related Items (4)

Cell structures on the blob algebra ⋮ Cellular structures using \(U_q\)-tilting modules ⋮ On the representation theory of an algebra of braids and ties. ⋮ Graded cellular bases for Temperley-Lieb algebras of type A and B

Cites Work

• Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Algebraic stratification in representation categories
• Polynomial representations of \(GL_n\)
• The blob algebra and the periodic Temperley-Lieb algebra
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• The blob algebra in positive characteristic.
• Schur-Weyl reciprocity for the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
• Cellular algebras
• On the structure of the blob algebra
• Cell structures on the blob algebra
• Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type B n
• The blocks of the Brauer algebra in characteristic zero
• The (Q, q )-Schur Algebra
• Tilting modules for cyclotomic Schur algebras
• Diagram algebras, Hecke algebras and decomposition numbers at roots of unity
• Virtual algebraic Lie theory: Tilting modules and Ringel duals for blob algebras
• Generalized Blob Algebras and Alcove Geometry
• Hecke Algebras of Type B_n at Roots of Unity
• Unnamed Item

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