Dolbeault-Dirac operators, quantum Clifford algebras and the Parthasarathy formula

DOI10.1007/s00006-016-0730-6zbMath1377.81054arXiv1606.01827OpenAlexW3103357108MaRDI QIDQ2361406

Marco Matassa

Publication date: 30 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01827

zbMATH Keywords

Dolbeault-Dirac operatorsParthasarathy formulaquantum Clifford algebras

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Clifford algebras, spinors (15A66) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) The Levi problem in complex spaces; generalizations (32C55)

Related Items (6)

Dolbeault-Dirac operators, quantum Clifford algebras and the Parthasarathy formula ⋮ A Dolbeault-Dirac spectral triple for the \(B_2\)-irreducible quantum flag manifold ⋮ A Hodge–de Rham Dirac operator on the quantum SU(2) ⋮ A Dolbeault-Dirac spectral triple for quantum projective space ⋮ On PBW-deformations of braided exterior algebras ⋮ The Parthasarathy formula and a spectral triple for the quantum Lagrangian Grassmannian of rank two

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