C-statistical quantum groups and Weyl algebras
From MaRDI portal
Publication:4030946
DOI10.1063/1.529891zbMath0773.17013OpenAlexW2088222292MaRDI QIDQ4030946
Publication date: 1 April 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529891
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87)
Related Items
Free braided differential calculus, braided binomial theorem, and the braided exponential map ⋮ On the Fock space for nonrelativistic anyon fields and braided tensor products ⋮ q-epsilon tensor for quantum and braided spaces ⋮ Algebraic q-integration and Fourier theory on quantum and braided spaces ⋮ Random walk and the heat equation on superspace and anyspace ⋮ Matching realization of \(U_q(sl_{n+1})\) of higher rank in the quantum Weyl algebra \(W_q(2n)\) ⋮ Quantum groups and noncommutative geometry ⋮ Quantum divided power algebra, \(q\)-derivatives, and some new quantum groups ⋮ Deformed \(C_{\lambda}\)-extended Heisenberg algebra in noncommutative phase-space ⋮ Remarks on bicovariant differential calculi and exterior Hopf algebras ⋮ Braided momentum in the q-Poincaré group ⋮ Quantum and braided group Riemannian geometry ⋮ Loewy filtration and quantum de Rham cohomology over quantum divided power algebra ⋮ Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group ⋮ The quantum double as quantum mechanics
Cites Work
- Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
- Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations
- \(C^*\)-algebraic quantization and the origin of topological quantum effects
- RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES
- Fourier transforms on 𝒜/𝒢 and knot invariants
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Projective Modules over Higher-Dimensional Non-Commutative Tori
- ON q-REGULARIZATION
- CHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVE
- Examples of braided groups and braided matrices
- Quantum mechanics on homogeneous spaces