Functions on the model orbit in 𝐸₈

Adams, Jeffrey; Huang, Jing-Song; Vogan, David, Jr.

doi:10.1090/S1088-4165-98-00048-X

Functions on the model orbit in $E_8$
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by Jeffrey Adams, Jing-Song Huang and David A. Vogan, Jr.

Represent. Theory 2 (1998), 224-263

DOI: https://doi.org/10.1090/S1088-4165-98-00048-X

Published electronically: June 2, 1998

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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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