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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1994 Mar 29;91(7):2469–2472. doi: 10.1073/pnas.91.7.2469

Minimal representations of E6, E7, and E8 and the generalized Capelli identity.

R Brylinski 1, B Kostant 1
PMCID: PMC43390  PMID: 11607467

Abstract

We explicitly construct, in a uniform fashion, the (unique) minimal and spherical representation pi0 of the split real Lie group of exceptional type E6, E7, or E8. We obtain several algebraic and analytic results about pi0.

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Selected References

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