Minor identities for Sklyanin determinants
DOI10.1016/j.aim.2024.109569arXiv2208.04775OpenAlexW4392337840MaRDI QIDQ6124578
Publication date: 28 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04775
quantum groups\(q\)-determinants\(q\)-Pfaffiansquantum symmetric spaces\(q\)-minor identitiesSklyanin determinants
Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Pfaffian systems (58A17) Actions of groups on commutative rings; invariant theory (13A50) Quantum groups (quantized function algebras) and their representations (20G42) Exterior algebra, Grassmann algebras (15A75)
Cites Work
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- Quantum permanents and Hafnians via Pfaffians
- Quantum Pfaffians and hyper-Pfaffians
- Quantum Berezinian and the classical Capelli identity
- Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Quasideterminants. I
- On identities satisfied by minors of a matrix
- Notes on quantum groups and quantum de Rham complexes
- A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
- Quantum determinants and quasideterminants
- Quantum multilinear algebra
- Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
- Symmetric pairs for quantized enveloping algebras
- Minor identities for quasi-determinants and quantum determinants
- The quantum coordinate ring of the special linear group
- Erratum to "Remarks on Classical Invariant Theory"
- Quantum GLn
- Twisted yangians and infinite-dimensional classical Lie algebras
- Sugawara Operators for Classical Lie Algebras
- Zonal Polynomials and Quantum Antisymmetric Matrices
- COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS
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