Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF02567697
Title: Invariant differential operators on symplectic grassmann manifolds
Authors: Schwarz, G.
Zhu, C.-b. 
Issue Date: Dec-1994
Citation: Schwarz, G., Zhu, C.-b. (1994-12). Invariant differential operators on symplectic grassmann manifolds. Manuscripta Mathematica 82 (1) : 191-206. ScholarBank@NUS Repository. https://doi.org/10.1007/BF02567697
Abstract: Let M 2n,r denote the vector space of real or complex 2n×r matrices with the natural action of the symplectic group Sp 2n, and let G=G n,r =Sp 2n ×M 2n,r denote the corresponding semi-direct product. For any integer p with 0≤p≤n-1, let H denote the subgroup G p,r ×Sp 2n-2p of G. We explicitly compute the algebra of left invariant differential operators on G/H, and we show that it is a free algebra if and only if r≤2n-2p+1. We also give orthogonal analogues of these results, generalizing those of Gonzalez and Helgason [3]. © 1994 Springer-Verlag.
Source Title: Manuscripta Mathematica
URI: http://scholarbank.nus.edu.sg/handle/10635/103443
ISSN: 00252611
DOI: 10.1007/BF02567697
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