Isotropic geometry and twistors in higher dimensions. I. The generalized Klein correspondence and spinor flags in even dimensions

J. Harnad, S. Shnider

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

An equivariant diffeomorphism is given between flag varieties of totally isotropic subspaces of a complex inner product space and certain orbits under the complex spin group within flag varieties of the associated spinor modules. This allows a generalization of the Klein correspondence underlying twistor theory, applicable to arbitrary (even) dimensional conformally compactified Minkowski space and its isotropic subspaces.

Original languageEnglish
Pages (from-to)3197-3208
Number of pages12
JournalJournal of Mathematical Physics
Volume33
Issue number9
DOIs
StatePublished - 1992

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