Infinitesimally Central Extensions of Chevalley Groups |
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Infinitesimally Central Extensions of Chevalley Groups W. L. J. van der Kallen No preview available - 1973 |
Infinitesimally Central Extensions of Chevalley Groups W. L. J. Van Der Kallen No preview available - 2014 |
Common terms and phrases
2-cocycle a+ß admissible lattice algebraic group Aut(G automorphism B₁ central trick Chevalley group choose Cijaß commutative component composition factors composition series Corollary corresponding degenerate sums denote direct sum Dynkin diagram E-connected elements exact sequence extension of G follows functor fundamental weight G-module G₁ group G H₂ Hence highest weight homomorphism indecomposable infinitesimally central extension Int w(t invariant irreducible isomorphism k-homomorphism kernel L₁ Lemma Let G Lie algebra LMst long root maximal torus module morphism multiplicity non-zero norming constants notations orbits of degenerate p]-structure proof Proposition 5.2 prove R₁ REMARK representation root system satisfies short root simple roots simply connected spanned subgroup suppose surjective T-equivariant Theorem type B3 type C₁ type G₂ unipotent unipotent radical universal central extension weight space Weyl group zero α α αγ ε ε ρα