Related Experiment Videos

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

R Brylinski¹, B Kostant

¹Pennsylvania State University, University Park, PA 16802, USA.

Proceedings of the National Academy of Sciences of the United States of America

|March 29, 1994

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.

Related Concept Videos

Articles linked to this work by shared authors, journal, and citation graph.

The Weyl character formula, the half-spin representations, and equal rank subgroups.

Proceedings of the National Academy of Sciences of the United States of America·1998

Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy class in PSl(2, 11).

Proceedings of the National Academy of Sciences of the United States of America·1994

Minimal representations, geometric quantization, and unitarity.

Proceedings of the National Academy of Sciences of the United States of America·1994

Douglas' solution of the Plateau problem.

Proceedings of the National Academy of Sciences of the United States of America·1988

T-equivariant K-theory of generalized flag varieties.

Proceedings of the National Academy of Sciences of the United States of America·1987

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G.

Proceedings of the National Academy of Sciences of the United States of America·1986

See all related articles