A quantum analogue of the first fundamental theorem of classical invariant theory
type: Item
instance of: scholarly article
title: A quantum analogue of the first fundamental theorem of classical invariant theory
zbMATH Open document ID: 1262.17008
author: Zhang Hechun
author: Gus I. Lehrer
author: R. B. Zhang
published in: Communications in Mathematical Physics
publication date: 2011-02-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/0908.1425
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 5843865
MaRDI profile type: Publication
OpenAlex ID: W3098679462
arXiv ID: 0908.1425
cites work: Representations of quantum algebras
cites work: On the heat equation and the index theorem
cites work: Braided symmetric and exterior algebras
cites work: Lectures on algebraic quantum groups
cites work: Dual canonical bases and Kazhdan-Lusztig polynomials
cites work: Q4310044
cites work: A characteristic free approach to invariant theory
cites work: Quantum Weyl reciprocity and tilting modules
cites work: The first fundamental theorem of coinvariant theory for the quantum general linear group
cites work: Q4668173
cites work: GEOMETRY OF QUANTUM HOMOGENEOUS VECTOR BUNDLES AND REPRESENTATION THEORY OF QUANTUM GROUPS I
cites work: Quantum matrix algebras of the \(\text{GL}(m|n)\) type: the structure and spectral parameterization of the characteristic subalgebra
cites work: Transcending Classical Invariant Theory
cites work: Q4862686
cites work: A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
cites work: A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and type A Iwahori-Hecke algebras
cites work: Strongly multiplicity free modules for Lie algebras and quantum groups
cites work: A Temperley–Lieb Analogue for the BMW Algebra
cites work: Q4274976
cites work: Quantum homogeneous spaces with faithfully flat module structures
cites work: Differential calculus on quantum spheres
cites work: The invariant theory of \(n\times n\) matrices
cites work: Matrix units for centralizer algebras
cites work: Ribbon graphs and their invariants derived from quantum groups
cites work: Invariants of 3-manifolds via link polynomials and quantum groups
cites work: A \({\mathcal U}_ q(\mathfrak{sl}(2))\)-representation with no quantum symmetric algebra.
cites work: Classical invariant theory for the quantum symplectic group
cites work: On tensor categories of Lie type \(E_{N}, N\neq 9\)
cites work: Compact matrix pseudogroups
cites work: Structure and representations of the quantum general linear supergroup
cites work: Howe duality and the quantum general linear group
cites work: \(R\)-matrix Poisson algebras and their deformations
DOI: 10.1007/S00220-010-1143-3
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description: scientific article