Howe duality and the quantum general linear group

DOI10.1090/S0002-9939-02-06892-2zbMath1068.17005OpenAlexW1538745651MaRDI QIDQ4806415

Ruibin Zhang

Publication date: 14 May 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06892-2

zbMATH Keywords

quantum linear groupHowe dualitySchur duality

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items

On quantum \(\mathrm{GL}(n)\)., Dual canonical bases and Kazhdan-Lusztig polynomials, Quantum polynomial functors, The first and second fundamental theorems of invariant theory for the quantum general linear supergroup, Quantum Howe duality and invariant polynomials, A quantum analogue of the first fundamental theorem of classical invariant theory, Invariant theory of \(\imath\,\)quantum groups of type AIII, Braided symmetric and exterior algebras, Determinantal ideals and the canonical commutation relations: classically or quantized, Braided symmetric algebras of simple \(U_q(sl_2)\)-modules and their geometry, Howe duality for quantum queer superalgebras, A \(q\)-analogue of derivations on the tensor algebra and the \(q\)-Schur-Weyl duality, Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra, Geometric Howe dualities of finite type