Characters of Reductive Groups over a Finite Field
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A01=George Lusztig
Algebra representation
Algebraic closure
Algebraic group
Algebraic variety
Algebraically closed field
Author_George Lusztig
Bijection
Borel subgroup
Cartan subalgebra
Category=PBG
Characteristic polynomial
Class function (algebra)
Classical group
Coefficient
Cohomology
Combination
Computation
Conjugacy class
Coxeter group
Cyclic group
Cyclotomic polynomial
Derived category
Diagram (category theory)
Dimension
Disjoint sets
E6 (mathematics)
Eigenvalues and eigenvectors
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence class
Equivalence relation
Existential quantification
Explicit formula
Explicit formulae (L-function)
Finite field
Fourier transform
Green's function
Group (mathematics)
Group representation
Hecke algebra
Identity element
Irreducible representation
Isomorphism class
Jordan decomposition
Linear combination
Mathematical induction
Maximal torus
Module (mathematics)
Monodromy
Orthonormal basis
P-adic number
Parametrization
Parity (mathematics)
Perverse sheaf
Polynomial
Reductive group
Ree group
Schubert variety
Semisimple Lie algebra
Sheaf (mathematics)
Special case
Subset
Summation
Surjective function
Symmetric group
Tensor product
Theorem
Unipotent representation
Vector bundle
Vector space
Verma module
Weil conjecture
Weyl group
Zariski topology
Product details
- ISBN 9780691083513
- Weight: 595g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jun 1984
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
