Quantum and braided linear algebra
From MaRDI portal
Publication:4201785
DOI10.1063/1.530193zbMath0781.17005arXivhep-th/9208006OpenAlexW2064398014MaRDI QIDQ4201785
Publication date: 6 September 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9208006
Hopf algebrabraided monoidal categorybraided groupbialgebraquantum determinantsstandard \(R\)-matrices
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items
Quantum and braided-Lie algebras, Hodge star as braided Fourier transform, DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY, \(q\)-Lorentz group and braided coaddition on \(q\)-Minkowski space, Free braided differential calculus, braided binomial theorem, and the braided exponential map, Quasi-\(*\) structure on \(q\)-Poincaré algebras, Interrelations between quantum groups and reflection equation (braided) algebras, Projective quantum spaces, Wave equations on \(q\)-Minkowski space, q-epsilon tensor for quantum and braided spaces, Quantum group covariant noncommutative geometry, Algebraic q-integration and Fourier theory on quantum and braided spaces, Podleś spheres for the braided quantum \(\mathrm{SU}(2)\), Quantized braided groups, On the addition of quantum matrices, Dipper Donkin quantized matrix algebra and reflection equation algebra at root of unity, q-Euclidean space and quantum Wick rotation by twisting, Extended reflection equation algebras, the braid group on a handlebody, and associated link polynomials, Duality for infinite-dimensional braided bialgebras and their (co)modules, Quantized representations of knot groups, Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type, Differential Hopf algebra structure of the quantum standard complex, Quantized braided linear algebras relating to quantized braided groups, On the algebraic structure of differential calculus on quantum groups, A class of bicovariant differential calculi on Hopf algebras, The prime spectrum and representation theory of the 2 × 2 reflection equation algebra, Differential calculuses on the quantized braided groups, Braided coaddition on the quantized braided matrices, On communication relations for quons, Braided momentum in the q-Poincaré group, ANALYSIS ON q-DEFORMED QUANTUM SPACES, Bicovariant quantum algebras and quantum Lie algebras
Cites Work
- A two-parameter quantization of GL(n)
- Braided groups and algebraic quantum field theories
- More examples of bicrossproduct and double cross product Hopf algebras
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
- Examples of braided groups and braided matrices