Capelli identity on multiparameter quantum linear groups
DOI10.1007/s11425-017-9216-xzbMath1417.17016arXiv1712.05600OpenAlexW2772291285MaRDI QIDQ1705735
Publication date: 16 March 2018
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.05600
Capelli identityquasi-centermultiparameter quantum groups\(q\)-determinants\(q\)-hyper-Pfaffans\(q\)-Pfaffans
Determinants, permanents, traces, other special matrix functions (15A15) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Pfaffian systems (58A17) Exterior algebra, Grassmann algebras (15A75)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum permanents and Hafnians via Pfaffians
- Quantum Pfaffians and hyper-Pfaffians
- Quantum Berezinian and the classical Capelli identity
- A two-parameter quantization of GL(n)
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Notes on quantum groups and quantum de Rham complexes
- A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
- Algebraic structure of multiparameter quantum groups
- Lectures on algebraic quantum groups
- Quasideterminants
- Quantum multilinear algebra
- \(R\)-matrix realization of two-parameter quantum group \(U_{r,s}(\mathfrak {gl}_n)\)
- The quantum coordinate ring of the special linear group
- Multiparameter quantum groups and twisted quasitriangular Hopf algebras
- Quantum GLn
- Two-Parameter Quantum Linear Groups and the Hyperbolic Invariance of q -Schur Algebras
- Remarks on Classical Invariant Theory
- Quantum deformations of GLn
This page was built for publication: Capelli identity on multiparameter quantum linear groups