Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /

This book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lusztig, George (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 107
Temas:
Characters of groups.
Finite fields (Algebra).
Finite groups.
MATHEMATICS / Group Theory.
Addition.
Algebra representation.
Algebraic closure.
Algebraic group.
Algebraic variety.
Algebraically closed field.
Bijection.
Borel subgroup.
Cartan subalgebra.
Character table.
Character theory.
Characteristic function (probability theory).
Characteristic polynomial.
Class function (algebra).
Classical group.
Coefficient.
Cohomology with compact support.
Cohomology.
Combination.
Complex number.
Computation.
Conjugacy class.
Connected component (graph theory).
Coxeter group.
Cyclic group.
Cyclotomic polynomial.
David Kazhdan.
Dense set.
Derived category.
Diagram (category theory).
Dimension.
Direct sum.
Disjoint sets.
Disjoint union.
E6 (mathematics).
Eigenvalues and eigenvectors.
Endomorphism.
Equivalence class.
Equivalence relation.
Existential quantification.
Explicit formula.
Explicit formulae (L-function).
Fiber bundle.
Finite field.
Finite group.
Fourier transform.
Green's function.
Group (mathematics).
Group action.
Group representation.
Harish-Chandra.
Hecke algebra.
Identity element.
Integer.
Irreducible representation.
Isomorphism class.
Jordan decomposition.
Line bundle.
Linear combination.
Local system.
Mathematical induction.
Maximal torus.
Module (mathematics).
Monodromy.
Morphism.
Orthonormal basis.
P-adic number.
Parametrization.
Parity (mathematics).
Partially ordered set.
Perverse sheaf.
Pointwise.
Polynomial.
Quantity.
Rational point.
Reductive group.
Ree group.
Schubert variety.
Scientific notation.
Semisimple Lie algebra.
Sheaf (mathematics).
Simple group.
Simple module.
Special case.
Standard basis.
Subset.
Subtraction.
Summation.
Surjective function.
Symmetric group.
Tensor product.
Theorem.
Two-dimensional space.
Unipotent representation.
Vector bundle.
Vector space.
Verma module.
Weil conjecture.
Weyl group.
Zariski topology.
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