Spin geometry on quantum groups via covariant differential calculi
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Publication:1874467
DOI10.1016/S0001-8708(02)00044-0zbMath1026.81023arXivmath/0006226WikidataQ115340679 ScholiaQ115340679MaRDI QIDQ1874467
Publication date: 25 May 2003
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0006226
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Related Items (12)
Pseudo-Riemannian metrics on bicovariant bimodules ⋮ Noncommutative Kähler structures on quantum homogeneous spaces ⋮ Realization of \(U_q({\mathfrak{sp}}_{2n})\) within the differential algebra on quantum symplectic space ⋮ Covariant connections on bicovariant differential calculus ⋮ (A class of) Hodge duality operators over the quantum \(\mathrm{SU}(2)\) ⋮ A Hodge–de Rham Dirac operator on the quantum SU(2) ⋮ Twisted Dirac Operator on Quantum SU(2) in Disc Coordinates ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ The Dirac operator on compact quantum groups ⋮ Warped products and Yang-Mills equations on noncommutative spaces ⋮ CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION ⋮ HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES
Cites Work
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- Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
- Bicovariant differential calculi on \(S_ \mu U(2)\)
- Unifying Hopf modules
- Levi-Civita connections on the quantum groups \(SL_ q(N), O_ q(N)\) and \(Sp_ q(N)\)
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Linear connections on the quantum plane
- De Rham Cohomology and Hodge Decomposition For Quantum Groups
- Classification of bicovariant differential calculi on the quantum groups SLq(n+1) and Spq(2n)
- Non-commutative geometry of finite groups
- Quantum Clifford algebras from spinor representations
- Linear connections in non-commutative geometry
- Algebra Extensions and Nonsingularity
- Metrics and pairs of left and right connections on bimodules
- Classification of left-covariant differential calculi on the quantum group SL\(_q(2)\)
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