Spectrum of the Dirac operator on complex projective space \(P_{2q- 1}({\mathbb{C}})\)

DOI10.1007/BF00401871zbMath0706.58010MaRDI QIDQ919334

Alain Franc, Michel Cahen, Simone Gutt

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

spectrumDirac operatorcomplex projective space

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (13)

Killing spinors on Kähler manifolds ⋮ Complex contact structures and the first eigenvalue of the Dirac operator on Kähler manifolds ⋮ Vafa-Witten estimates for compact symmetric spaces ⋮ The \(\hat {A}\)-genus and symmetry of the Dirac spectrum on Riemannian product manifolds ⋮ Spectra of the Rarita-Schwinger operator on some symmetric spaces ⋮ A projective Dirac operator on \(\mathbb{CP}^2\) within fuzzy geometry ⋮ A new method for eigenvalue estimates for Dirac operators on certain manifolds with \(S^{k}\)-symmetry ⋮ Lower bounds for eigenvalues of the Dirac operator on \(n\)-spheres with \(SO(n)\)-symmetry ⋮ Branching rules for unitary groups and spectra of invariant differential operators on complex Grassmannians ⋮ Dirac operators on quantum projective spaces ⋮ Spinors and the Dirac operator on hypersurfaces. I. General theory ⋮ Spectrum of the Dirac operator on Gr2(Cm+2) ⋮ The first eigenvalue of the Dirac operator on compact spin symmetric spaces

Cites Work

• Structure and matrix elements of the degenerate series representations of U(p+q) and U(p,q) in a U(p)×U(q) basis
• Recurrence Relations for the Multiplicities in the Classical Groups

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