Cellular algebras
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Publication:1911538
DOI10.1007/BF01232365zbMath0853.20029MaRDI QIDQ1911538
Gustav Isaac Lehrer, John J. Graham
Publication date: 6 January 1997
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/144334
Temperley-Lieb algebrasAriki-Koike algebrasirreducible representationsinvariant bilinear formssemisimplicityassociative algebrascell representationsBrauer centralizer algebrasJones algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Identification of the irreducible modular representations of \(GL_n(q)\).
- Hecke algebra representations of braid groups and link polynomials
- On the structure of Brauer's centralizer algebras
- Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
- Induced cuspidal representations and generalised Hecke rings
- Primitive ideals and orbital integrals in complex classical groups
- Representations of Coxeter groups and Hecke algebras
- On the representation theory of the symmetric groups and associated Hecke algebras
- The Temperley-Lieb algebra at roots of unity
- A tower construction for the radical in Brauer's centralizer algebras
- A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
- A quotient of the affine Hecke algebra in the Brauer algebra
- On algebras which are connected with the semisimple continuous groups
- Representations of finite groups of Lie type
- Characters of Reductive Groups over a Finite Field. (AM-107)
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- A polynomial invariant for knots via von Neumann algebras
- Representations of Hecke Algebras of General Linear Groups
- Blocks and Idempotents of Hecke Algebras of General Linear Groups
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