On natural representations of the symplectic group.

zbMath1264.20039MaRDI QIDQ2430148

Rieuwert J. Blok, Antonio Pasini, Ilaria Cardinali

Publication date: 6 April 2011

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1299766484

zbMATH Keywords

symplectic groupsWeyl modulesexterior powersbuildingsreducible modulessymplectic Grassmanniansfundamental weights

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Buildings and the geometry of diagrams (51E24) Lie geometries in nonlinear incidence geometry (51B25)

Related Items

Two forms related to the symplectic dual polar space in odd characteristic, On certain forms and quadrics related to symplectic dual polar spaces in characteristic 2, On the Grassmann module of symplectic dual polar spaces of rank 4 in characteristic 3