Dirac Operators on a Compact Lie Group

DOI10.1112/blms/17.6.579zbMath0559.58030OpenAlexW2030673730WikidataQ115257780 ScholiaQ115257780MaRDI QIDQ5185755

Stephen Slebarski

Publication date: 1985

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/17.6.579

zbMATH Keywords

Dirac operatorcompact connected Lie groupharmonic spinorsbi-invariant metric

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99)

Related Items (10)

Morita equivalence and spectral triples on noncommutative orbifolds ⋮ Conformal invariants of twisted Dirac operators and positive scalar curvature ⋮ Spectral sections, twisted rho invariants and positive scalar curvature ⋮ Dirac operators on quantum weighted projective spaces ⋮ The Dirac operator on compact quantum groups ⋮ Index type invariants for twisted signature complexes and homotopy invariance ⋮ Loop groups and twisted $K$-theory II ⋮ Spectral Symmetry of the Dirac Operator in the Presence of a Group Action ⋮ FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY ⋮ Multiplets of representations and Kostant's Dirac operator for equal rank loop groups

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