Symplectic spinor bundle
id:
symplectic-spinor-bundle-253-498917
title:
Symplectic spinor bundle
text:
In differential geometry, given a metaplectic structure π P : P → M on a 2 n -dimensional symplectic manifold , the symplectic spinor bundle is the Hilbert space bundle π Q : Q → M associated to the metaplectic structure via the metaplectic representation. The metaplectic representation of the metaplectic group — the two-fold covering of the symplectic group — gives rise to an infinite rank vector bundle; this is the symplectic spinor construction due to Bertram Kostant. A section of the symplec
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Symplectic_spinor_bundle
date created:
date modified:
2020-04-16T02:46:35Z
main entity:
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13
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