Hermitian Lie Algebras and Metaplectic Representations. I
- 1 April 1978
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 238, 1-43
- https://doi.org/10.2307/1997795
Abstract
A notion of “hermitian Lie algebra” is introduced which relates ordinary and graded Lie algebra structures. In the case of real-symplectic and arbitrary-signature-unitary Lie algebras, it leads to an analysis of the minimal dimensional coadjoint orbits, and then to the metaplectic representations and their restrictions to unitary groups of arbitrary signature and parabolic subgroups of these unitary groups.Keywords
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