Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107
George Lusztig
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
This book presents a classification of all (complex)
irreducible representations of a reductive group with
connected centre, over a finite field. To achieve this,
the author uses etale intersection cohomology, and
detailed information on representations of Weyl
groups.
Kundenbewertungen
Cohomology, Reductive group, Special case, Unipotent representation, Schubert variety, Symmetric group, Derived category, E6 (mathematics), Finite field, Characteristic polynomial, Borel subgroup, Existential quantification, Fourier transform, Vector bundle, Bijection, Computation, Group (mathematics), Identity element, Subset, Hecke algebra, Algebraically closed field, Diagram (category theory), Orthonormal basis, Dimension, Parity (mathematics), Mathematical induction, Explicit formulae (L-function), P-adic number, Tensor product, Semisimple Lie algebra, Cyclic group, Cyclotomic polynomial, Algebraic closure, Ree group, Vector space, Monodromy, Conjugacy class, Irreducible representation, Algebraic variety, Maximal torus, Equivalence class, Coxeter group, Explicit formula, Algebra representation, Coefficient, Linear combination, Polynomial, Perverse sheaf, Surjective function, Weyl group, Cartan subalgebra, Verma module, Sheaf (mathematics), Algebraic group, Classical group, Class function (algebra), Eigenvalues and eigenvectors, Module (mathematics), Combination, Group representation, Zariski topology, Weil conjecture, Summation, Theorem, Jordan decomposition, Isomorphism class, Equivalence relation, Disjoint sets, Parametrization, Green's function