Displaying similar documents to “Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians”

A tropical view on Bruhat-Tits buildings and their compactifications

Annette Werner (2011)

Open Mathematics

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We relate some features of Bruhat-Tits buildings and their compactifications to tropical geometry. If G is a semisimple group over a suitable non-Archimedean field, the stabilizers of points in the Bruhat-Tits building of G and in some of its compactifications are described by tropical linear algebra. The compactifications we consider arise from algebraic representations of G. We show that the fan which is used to compactify an apartment in this theory is given by the weight polytope...

Character formulae for classical groups

Péter Frenkel (2006)

Open Mathematics

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We give formulae relating the value Xλ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ε G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].