Covariant Dirac operators on quantum groups
DOI10.1063/1.3664284zbMath1273.81125arXiv1009.3913OpenAlexW3100351308MaRDI QIDQ2851684
Publication date: 16 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.3913
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Geometry of quantum groups (58B32) Clifford algebras, spinors (15A66) (Equivariant) Chow groups and rings; motives (14C15)
Cites Work
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- The Dirac operator on \(\text{SU}_{q}(2)\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
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- Quantum Lie algebras, their existence, uniqueness and \(q\)-antisymmetry
- Dirac operators on the quantum group SU(2) and the quantum sphere
- A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
- The local index formula for \(\text{SU}_{q}(2)\)
- The Dirac operator on compact quantum groups
- Braided chains ofq-deformed Heisenberg algebras
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