# nLab symplectic spinor

Contents

### Context

#### Symplectic geometry

symplectic geometry

higher symplectic geometry

# Contents

## Idea

By analogy of spin and spin^c with Mp and Mp^c and in view of spin representations, the standard Segal-Shale-Weil metaplectic representation is also called the symplectic spinor representation.

Accordingly, an associated bundle for this representation is also called a symplectic spinor bundle (in analogy with spinor bundles). This plays a role in metaplectic quantization.

## References

The original article is

• Bertram Kostant, Symplectic Spinors Symposia Mathematica, Vol. XIV, pp. 139–152. Academic Press, London, 1974.