Quantum vector fields via quantum doubles and their applications
DOI10.1090/conm/789/15841arXiv2211.14376OpenAlexW4386077479MaRDI QIDQ6049767
Unnamed Author, Pavel A. Saponov
Publication date: 15 September 2023
Published in: The Diverse World of PDEs (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.14376
Vector fields, frame fields in differential topology (57R25) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Applications of Lie groups to the sciences; explicit representations (22E70) Two-body problems (70F05) Orbital mechanics (70M20) Leibniz algebras (17A32) Reflection groups, reflection geometries (51F15) Universal enveloping algebras of Lie algebras (16S30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum geometry and quantization on \(U(u(2))\) background. Noncommutative Dirac monopole
- Braided Weyl algebras and differential calculus on \(U(u(2))\)
- Braided differential operators on quantum algebras
- Spectral parameterization for power sums of a quantum supermatrix
- Spectral extension of the quantum group cotangent bundle
- Noncommutative geometry and dynamical models on \(U(u(2))\) background
- A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
- Quantum immanants and higher Capelli identities
- Matrix Capelli identities related to reflection equation algebra
- Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type
- The Weyl approach to the representation theory of reflection equation algebra
- Noncommutative geometry on central extension of U(u(2))
This page was built for publication: Quantum vector fields via quantum doubles and their applications
