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Symplectic Dirac operators on homogeneous spaces

Ciubotaru, Dan et al.
arXiv (All) · Papers
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22e46representation-theory
We define symplectic Dirac operators on homogeneous spaces and study their representation-theoretic role. For an invariant polarization, the symplectic Dirac operator decomposes into two symplectic Dolbeault operators. We compute their commutator as the natural symplectic analogue of the square of t
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