On the classification of finite dimensional irreducible modules for affine BMW algebras.
From MaRDI portal
Publication:379196
DOI10.1007/s00209-012-1140-7zbMath1287.20007arXiv1206.3771OpenAlexW1973717535MaRDI QIDQ379196
Publication date: 11 November 2013
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.3771
irreducible modulesKleshchev multipartitionsaffine Birman-Murakami-Wenzl algebrasextended affine Hecke algebras
Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of associative Artinian rings (16G10)
Related Items (3)
Affine and degenerate affine BMW algebras: the center ⋮ Morita equivalence for cyclotomic BMW algebras. ⋮ The finite dimensional irreducible modules for affine walled Brauer algebras
Cites Work
- Unnamed Item
- Unnamed Item
- The representations of cyclotomic BMW algebras. II.
- The modular branching rule for affine Hecke algebras of type \(A\).
- Non-vanishing Gram determinants for cyclotomic Nazarov-Wenzl and Birman-Murakami-Wenzl algebras.
- The representations of cyclotomic BMW algebras.
- Cellularity of cyclotomic Birman-Wenzl-Murakami algebras
- On the structure of cyclotomic Nazarov-Wenzl algebras.
- Comparison of admissibility conditions for cyclotomic Birman-Wenzl-Murakami algebras.
- On modules over the Hecke algebra of a p-adic group
- Proof of the Deligne-Langlands conjecture for Hecke algebras
- The Kauffman polynomial of links and representation theory
- Quantum groups and subfactors of type B, C, and D
- Cyclotomic \(q\)-Schur algebras
- A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
- On the quasi-heredity of Birman-Wenzl algebras
- Parameterizing Hecke algebra modules: Bernstein-Zelevinsky multisegments, Kleshchev multipartitions, and crystal graphs.
- Cellular bases for the Brauer and Birman-Murakami-Wenzl algebras.
- Cellular algebras
- Young's orthogonal form for Brauer's centralizer algebra
- Remarks on cyclotomic and degenerate cyclotomic BMW algebras.
- The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
- Affine and degenerate affine BMW algebras: the center
- Specht modules and semisimplicity criteria for Brauer and Birman-Murakami-Wenzl algebras.
- The Cyclotomic BMW Algebra Associated with the Two String TypeBBraid Group
- Blocks of Birman-Murakami-Wenzl Algebras
- On the cellularity of the cyclotomic Birman-Murakami-Wenzl algebras
- Representations of affine Hecke algebras and based rings of affine Weyl groups
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- Induced representations of reductive ${\germ p}$-adic groups. I
- Braids, Link Polynomials and a New Algebra
- Cyclotomic Nazarov-Wenzl Algebras
- Affine Birman–Wenzl–Murakami algebras and tangles in the solid torus
- Cyclotomic Birman-Murakami-Wenzl algebras.
- On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions
This page was built for publication: On the classification of finite dimensional irreducible modules for affine BMW algebras.