Theory of Lie Groups (PMS-8), Volume 8 /

This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering space...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chevalley, Claude (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Princeton Landmarks in Mathematics and Physics ; 42
Temas:
Lie groups.
Manifolds (Mathematics).
Topological groups.
MATHEMATICS / Group Theory.
Additive group.
Adjoint representation.
Algebra over a field.
Algebraic extension.
Algebraic variety.
Algebraically closed field.
Analytic function.
Analytic manifold.
Automorphism.
Axiom of countability.
Ball (mathematics).
Cardinal number.
Characteristic polynomial.
Coefficient.
Commutator subgroup.
Complex number.
Connected component (graph theory).
Continuous function (set theory).
Continuous function.
Coordinate system.
Coset.
Countable set.
Covering group.
Covering space.
Differential algebra.
Differential calculus.
Differential form.
Differential of a function.
Dual space.
Eigenvalues and eigenvectors.
Endomorphism.
Equivalence class.
Existential quantification.
Exponential function.
Exterior algebra.
Fundamental group.
Galois group.
General topology.
Geometry.
Group (mathematics).
Group theory.
Hermitian matrix.
Homeomorphism.
Homogeneous space.
Homomorphism.
Homotopy group.
Identity element.
Identity matrix.
Infinitesimal transformation.
Integer.
Invariant subspace.
Irreducible representation.
Kronecker product.
Lie algebra.
Lie group.
Linear function.
Linear map.
Linear space (geometry).
Linear subspace.
Linearization.
Locally connected space.
Manifold.
Mathematical induction.
Matrix exponential.
Modular arithmetic.
Module (mathematics).
Monodromy.
Morphism.
Open set.
Orthogonal group.
Parametric equation.
Permutation.
Power series.
Projective plane.
Real number.
Regular matrix.
Representation theory.
Riemann surface.
Simply connected space.
Skew-symmetric matrix.
Special case.
Subalgebra.
Subgroup.
Submanifold.
Subset.
Summation.
Symplectic geometry.
Symplectic group.
Tangent space.
Theorem.
Topological group.
Topological space.
Topology.
Trigonometric polynomial.
Union (set theory).
Uniqueness theorem.
Unitary group.
Unitary matrix.
Variable (mathematics).
Vector space.
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