BMW algebra, quantized coordinate algebra and type 𝐶 Schur–Weyl duality
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Publication:3068954
DOI10.1090/S1088-4165-2011-00369-1zbMath1219.17008arXiv0708.3009OpenAlexW2963928376MaRDI QIDQ3068954
Publication date: 21 January 2011
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.3009
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Modular representations and characters (20C20)
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Cites Work
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- A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
- An algebra related to the orthogonal group
- The semisimplicity of \(\omega_f^n\)
- Presenting generalized Schur algebras in types \(B\), \(C\), \(D\).
- Symplectic \(q\)-Schur algebras.
- Strongly multiplicity free modules for Lie algebras and quantum groups
- Specht filtrations and tensor spaces for the Brauer algebra.
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Quantum deformations of certain simple modules over enveloping algebras
- The Kauffman polynomial of links and representation theory
- Polynomial representations of \(GL_n\)
- Invariants of several matrices
- Global crystal bases of quantum groups
- On the modular representations of the general linear and symmetric groups
- A characteristic free approach to invariant theory
- Quantum Weyl reciprocity and tilting modules
- Quantum deformation of classical groups
- Crystal bases of modified quantized enveloping algebra
- Polynomial representations, algebraic monoids, and Schur algebras of classical type
- Cellular bases for the Brauer and Birman-Murakami-Wenzl algebras.
- The representations of Hecke algebras of type \(A_ n\)
- Cellular algebras
- Representations of quantum algebras
- On algebras which are connected with the semisimple continuous groups
- Decomposition numbers of finite classical groups for linear primes.
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- The q ‐Schur Algebra
- Schur-Weyl duality for orthogonal groups
- Representations of Hecke Algebras of General Linear Groups
- Canonical bases in tensor products.
- Presenting generalized 𝑞-Schur algebras
- An Invariant of Regular Isotopy
- Braids, Link Polynomials and a New Algebra
- Brauer algebras, symplectic Schur algebras and Schur-Weyl duality
- Introduction to quantum groups
- Centralizer coalgebras, FRT-construction, and symplectic monoids
