Irreducible representations of the Dirac algebra for a system constrained on a manifold diffeomorphic to \(S^D\) (Q2711737)

The irreducible representations of the Dirac algebra for a particle constrained to move on a \(D\)-dimensional sphere \(S^D\) are generalized to a system on a manifold \(M\) diffeomorphic to \(S^D\). It is shown that there exists a one-to-one correspondence between irreducible representations of two Dirac algebras given respectively on \(S^D\) and \(M\). It is observed that the representation space is kept unchanged for area-preserving mappings.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].