Trigonometric sums, green functions of finite groups and representations of Weyl groups
Identifieur interne : 001083 ( Istex/Curation ); précédent : 001082; suivant : 001084Trigonometric sums, green functions of finite groups and representations of Weyl groups
Auteurs : T. A. Springer [Pays-Bas]Source :
- Inventiones Mathematicae [ 0020-9910 ] ; 1976-12-01.
English descriptors
- KwdEn :
- Acts trivially, Additive group, Adjoint, Adjoint group, Affine space, Algebra, Algebraic, Algebraic group, Algebraic groups, Base change theorem, Borel, Borel subgroup, Borel subgroups, Centralizer, Character group, Cohomology, Conjugacy, Conjugacy classes, Constant sheaf, Deligne, Direct consequence, Finite field, Finite group, Finite groups, Frobenius, Frobenius morphism, Generic point, Green function, Green functions, Grothendieck, Group characters, Identity component, Irreducible, Irreducible character, Irreducible characters, Irreducible component, Irreducible components, Irreducible representation, Isomorphic, Isomorphism, Last formula, Lecture notes, Levi subgroup, Linear transformation, Main result, Maximal, Maximal tori, Maximal torus, Morphism, Nilpotent classes, Nilpotent orbits, Nontrivial, Nontrivial character, Notation, Orthogonal, Orthogonality, Orthogonality relations, Other hand, Parabolic, Parabolic subgroup, Positive roots, Proper parabolic subgroup, Reductive, Regular element, Regular elements, Root system, Semisimple, Semisimple rank, Sheaf, Sign character, Springer, Standard representation, Subgroup, Suffices, Toral subspace, Torus, Trigonometric, Trigonometric sums, Trigonometricsums, Trivially, Unipotent, Unipotents, Weyl, Weyl group, Weyl groups.
- Teeft :
- Acts trivially, Additive group, Adjoint, Adjoint group, Affine space, Algebra, Algebraic, Algebraic group, Algebraic groups, Base change theorem, Borel, Borel subgroup, Borel subgroups, Centralizer, Character group, Cohomology, Conjugacy, Conjugacy classes, Constant sheaf, Deligne, Direct consequence, Finite field, Finite group, Finite groups, Frobenius, Frobenius morphism, Generic point, Green function, Green functions, Grothendieck, Group characters, Identity component, Irreducible, Irreducible character, Irreducible characters, Irreducible component, Irreducible components, Irreducible representation, Isomorphic, Isomorphism, Last formula, Lecture notes, Levi subgroup, Linear transformation, Main result, Maximal, Maximal tori, Maximal torus, Morphism, Nilpotent classes, Nilpotent orbits, Nontrivial, Nontrivial character, Notation, Orthogonal, Orthogonality, Orthogonality relations, Other hand, Parabolic, Parabolic subgroup, Positive roots, Proper parabolic subgroup, Reductive, Regular element, Regular elements, Root system, Semisimple, Semisimple rank, Sheaf, Sign character, Springer, Standard representation, Subgroup, Suffices, Toral subspace, Torus, Trigonometric, Trigonometric sums, Trigonometricsums, Trivially, Unipotent, Unipotents, Weyl, Weyl group, Weyl groups.
Url:
DOI: 10.1007/BF01390009
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<term>Additive group</term>
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<term>Adjoint group</term>
<term>Affine space</term>
<term>Algebra</term>
<term>Algebraic</term>
<term>Algebraic group</term>
<term>Algebraic groups</term>
<term>Base change theorem</term>
<term>Borel</term>
<term>Borel subgroup</term>
<term>Borel subgroups</term>
<term>Centralizer</term>
<term>Character group</term>
<term>Cohomology</term>
<term>Conjugacy</term>
<term>Conjugacy classes</term>
<term>Constant sheaf</term>
<term>Deligne</term>
<term>Direct consequence</term>
<term>Finite field</term>
<term>Finite group</term>
<term>Finite groups</term>
<term>Frobenius</term>
<term>Frobenius morphism</term>
<term>Generic point</term>
<term>Green function</term>
<term>Green functions</term>
<term>Grothendieck</term>
<term>Group characters</term>
<term>Identity component</term>
<term>Irreducible</term>
<term>Irreducible character</term>
<term>Irreducible characters</term>
<term>Irreducible component</term>
<term>Irreducible components</term>
<term>Irreducible representation</term>
<term>Isomorphic</term>
<term>Isomorphism</term>
<term>Last formula</term>
<term>Lecture notes</term>
<term>Levi subgroup</term>
<term>Linear transformation</term>
<term>Main result</term>
<term>Maximal</term>
<term>Maximal tori</term>
<term>Maximal torus</term>
<term>Morphism</term>
<term>Nilpotent classes</term>
<term>Nilpotent orbits</term>
<term>Nontrivial</term>
<term>Nontrivial character</term>
<term>Notation</term>
<term>Orthogonal</term>
<term>Orthogonality</term>
<term>Orthogonality relations</term>
<term>Other hand</term>
<term>Parabolic</term>
<term>Parabolic subgroup</term>
<term>Positive roots</term>
<term>Proper parabolic subgroup</term>
<term>Reductive</term>
<term>Regular element</term>
<term>Regular elements</term>
<term>Root system</term>
<term>Semisimple</term>
<term>Semisimple rank</term>
<term>Sheaf</term>
<term>Sign character</term>
<term>Springer</term>
<term>Standard representation</term>
<term>Subgroup</term>
<term>Suffices</term>
<term>Toral subspace</term>
<term>Torus</term>
<term>Trigonometric</term>
<term>Trigonometric sums</term>
<term>Trigonometricsums</term>
<term>Trivially</term>
<term>Unipotent</term>
<term>Unipotents</term>
<term>Weyl</term>
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<term>Adjoint</term>
<term>Adjoint group</term>
<term>Affine space</term>
<term>Algebra</term>
<term>Algebraic</term>
<term>Algebraic group</term>
<term>Algebraic groups</term>
<term>Base change theorem</term>
<term>Borel</term>
<term>Borel subgroup</term>
<term>Borel subgroups</term>
<term>Centralizer</term>
<term>Character group</term>
<term>Cohomology</term>
<term>Conjugacy</term>
<term>Conjugacy classes</term>
<term>Constant sheaf</term>
<term>Deligne</term>
<term>Direct consequence</term>
<term>Finite field</term>
<term>Finite group</term>
<term>Finite groups</term>
<term>Frobenius</term>
<term>Frobenius morphism</term>
<term>Generic point</term>
<term>Green function</term>
<term>Green functions</term>
<term>Grothendieck</term>
<term>Group characters</term>
<term>Identity component</term>
<term>Irreducible</term>
<term>Irreducible character</term>
<term>Irreducible characters</term>
<term>Irreducible component</term>
<term>Irreducible components</term>
<term>Irreducible representation</term>
<term>Isomorphic</term>
<term>Isomorphism</term>
<term>Last formula</term>
<term>Lecture notes</term>
<term>Levi subgroup</term>
<term>Linear transformation</term>
<term>Main result</term>
<term>Maximal</term>
<term>Maximal tori</term>
<term>Maximal torus</term>
<term>Morphism</term>
<term>Nilpotent classes</term>
<term>Nilpotent orbits</term>
<term>Nontrivial</term>
<term>Nontrivial character</term>
<term>Notation</term>
<term>Orthogonal</term>
<term>Orthogonality</term>
<term>Orthogonality relations</term>
<term>Other hand</term>
<term>Parabolic</term>
<term>Parabolic subgroup</term>
<term>Positive roots</term>
<term>Proper parabolic subgroup</term>
<term>Reductive</term>
<term>Regular element</term>
<term>Regular elements</term>
<term>Root system</term>
<term>Semisimple</term>
<term>Semisimple rank</term>
<term>Sheaf</term>
<term>Sign character</term>
<term>Springer</term>
<term>Standard representation</term>
<term>Subgroup</term>
<term>Suffices</term>
<term>Toral subspace</term>
<term>Torus</term>
<term>Trigonometric</term>
<term>Trigonometric sums</term>
<term>Trigonometricsums</term>
<term>Trivially</term>
<term>Unipotent</term>
<term>Unipotents</term>
<term>Weyl</term>
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