Higher Nullcones and Commuting Varieties |
Contents
The Higher Nullcones | 9 |
The Case r 1 | 18 |
The Nullcone and the Commuting Variety | 25 |
3 other sections not shown
Common terms and phrases
action of G(k affine algebraic k-group affine k-group algebra g augmentation ideal bijective Borel subgroup CG(X commutative R-algebras commuting variety comorphism comultiplication connected reductive group Coxeter number defined over F divided powers f fi+k fi,i+k finite dimensional G defined G(k)-action G(k)-equivariant G₁ group defined group G HIGHER NULLCONES Hopf-algebra map hy G hy(G infinitesimal injective irreducible component isomorphic j)-entry Jordan canonical form k-Alg k-algebra k-group G k-group homomorphism Let G Lie algebra homomorphism Lie G Lie(G Lie(U linear algebraic group maximal torus morphism of varieties N_(G N(Lie N₁ G N₁(G N₁(SL N₁(U N₂ G N₂(G N₂(U nilpotent elements normal subgroup p-1)-sequences of divided Proof Proposition Rek-Alg representing algebra restricted Lie algebra Rhy(G Section semisimple sp+t surjective Theorem type An-1 unipotent radical upper triangular matrices vector space Y₂ zero