On Minuscule Representations and the Principal SL₂

DOI10.1090/S1088-4165-00-00106-0zbMath0986.22011OpenAlexW1515521809MaRDI QIDQ4523230

Gross, Benedict H.

Publication date: 8 January 2001

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-00-00106-0

zbMATH Keywords

flag varietyminuscule representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46)

Related Items

Cohomological representations for real reductive groups ⋮ Very stable Higgs bundles, equivariant multiplicity and mirror symmetry ⋮ SOLUTIONS OF THE tt*-TODA EQUATIONS AND QUANTUM COHOMOLOGY OF MINUSCULE FLAG MANIFOLDS ⋮ On exceptional 't Hooft lines in 4D-Chern-Simons theory ⋮ Minuscule ABCDE Lax operators from 4D Chern-Simons theory ⋮ Galois representations for general symplectic groups ⋮ COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP ⋮ Variations on themes of Kostant

Cites Work

• Polar representations
• Some remarks on nilpotent orbits
• On the motive of \(G\) and the principal homomorphism \(\text{SL}_2\to\widehat G\)
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
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