arXiv 1602.014032016-02math.RTmath-phmath.DGmath.MP

Equivariant differential operators on spinors in conformal geometry

Libor Křižka, Petr Somberg

备注：: arXiv admin note: text overlap with arXiv:1512.08203

英文摘要：

We present a novel approach to the classification of conformally equivariant differential operators on spinors in the case of homogeneous conformal geometry. It is based on the classification of solutions for a vector-valued system of partial differential equations, associated to $\mathcal{D}$-modules for the homogeneous conformal structure and controlled by the spin Howe duality for the orthogonal Lie algebras.

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