Parametrizing maximal compact subvarieties

Author:
Jodie D. Novak

Journal:
Proc. Amer. Math. Soc. **124** (1996), 969-975

MSC (1991):
Primary 22E46; Secondary 22E45

DOI:
https://doi.org/10.1090/S0002-9939-96-03153-X

MathSciNet review:
1301042

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Abstract | References | Similar Articles | Additional Information

Abstract: For the Lie group , let be the open orbit of Lagrangian planes of signature in the generalized flag variety of Lagrangian planes in . For a suitably chosen maximal compact subgroup of and a base point we have that the orbit of is a maximal compact subvariety of . We show that for the connected component containing in the space of translates of which lie in is biholomorphic to , where denotes with the opposite complex structure.

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Additional Information

**Jodie D. Novak**

Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-0613

Address at time of publication:
Department of Mathematical Sciences, Ball State University, Muncie,Indiana 47303

Email:
novak@math.bsu.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03153-X

Keywords:
Generalized flag variety,
Penrose transform,
symplectic group

Received by editor(s):
August 16, 1994

Communicated by:
Roe Goodman

Article copyright:
© Copyright 1996
American Mathematical Society