Gauss--Berezin integral operators and spinors over supergroups $\OSp(2p|2q)$, and Lagrangian super-Grasmannians

Details Gauss--Berezin integral operators and spinors over supergroups $\OSp(2p|2q)$, and Lagrangian super-Grasmannians Gauss--Berezin integral operators and spinors over supergroups $\OSp(2p|2q)$, and Lagrangian super-Grasmannians

2007-07-04

arxiv.org/abs/0707.0570v3

Mathematics

Representation Theory

48pp, typos are corrected

Scientific paper

We obtain explicit formulas for the spinor representation of the
orthosymplectic supergroup $\OSp(2p|2q)$ and the corresponding super-Olshanski
semigroup. Also we extend the representation to Lagrangian super-Grassmannian.

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