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Representation Theory

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Functions on the model orbit in $E_8$

Authors: Jeffrey Adams, Jing-Song Huang and David A. Vogan, Jr.
Journal: Represent. Theory 2 (1998), 224-263
MSC (1991): Primary 20G15, 22E46
Published electronically: June 2, 1998
MathSciNet review: 1628031
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Abstract: We decompose the ring of regular functions on the unique coadjoint orbit for complex $E_{8}$ of dimension 128, finding that every irreducible representation appears exactly once. This confirms a conjecture of McGovern. We also study the unique real form of this orbit.

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Additional Information

Jeffrey Adams
Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742

Jing-Song Huang
Affiliation: Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
MR Author ID: 304754

David A. Vogan, Jr.
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received by editor(s): March 24, 1998
Received by editor(s) in revised form: April 17, 1998
Published electronically: June 2, 1998
Additional Notes: The first author was supported in part by NSF grant DMS-94-01074. The second author was partially supported by RGC-CERG grant number HKUST588/94P and HKUST713/96P. The third author was supported in part by NSF grant DMS-94-02994.
Article copyright: © Copyright 1998 American Mathematical Society