D-Modules and Spherical Representations. (MN-39) /

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The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support...

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Detalles Bibliográficos
Autor principal: Bien, Frédéric V. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2014]
Edición:Course Book
Colección:Mathematical Notes ; 39
Temas:
MATHEMATICS / Geometry / Non-Euclidean.
Affine space.
Algebraic cycle.
Algebraic element.
Analytic function.
Annihilator (ring theory).
Automorphism.
Banach space.
Base change.
Big O notation.
Bijection.
Bilinear form.
Borel subgroup.
Cartan subalgebra.
Cofibration.
Cohomology.
Commutative diagram.
Commutative property.
Commutator subgroup.
Complexification (Lie group).
Conjugacy class.
Coproduct.
Coset.
Cotangent space.
D-module.
Derived category.
Diagram (category theory).
Differential operator.
Dimension (vector space).
Direct image functor.
Discrete series representation.
Disk (mathematics).
Dot product.
Double coset.
Eigenfunction.
Eigenvalues and eigenvectors.
Endomorphism.
Euler operator.
Existential quantification.
Fibration.
Function space.
Functor.
G-module.
Gelfand pair.
Generic point.
Hilbert space.
Holomorphic function.
Homomorphism.
Hyperfunction.
Ideal (ring theory).
Infinitesimal character.
Inner automorphism.
Invertible sheaf.
Irreducibility (mathematics).
Irreducible representation.
Levi decomposition.
Lie algebra.
Line bundle.
Linear algebraic group.
Linear space (geometry).
Manifold.
Maximal compact subgroup.
Maximal torus.
Metric space.
Module (mathematics).
Moment map.
Morphism.
Noetherian ring.
Open set.
Presheaf (category theory).
Principal series representation.
Projective line.
Projective object.
Projective space.
Projective variety.
Reductive group.
Riemannian geometry.
Riemann-Hilbert correspondence.
Right inverse.
Ring (mathematics).
Root system.
Satake diagram.
Sheaf (mathematics).
Sheaf of modules.
Special case.
Sphere.
Square-integrable function.
Sub"ient.
Subalgebra.
Subcategory.
Subgroup.
Summation.
Surjective function.
Symmetric space.
Symplectic geometry.
Tensor product.
Theorem.
Triangular matrix.
Vector bundle.
Volume form.
Weyl group.
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Tabla de Contenidos:
  • Frontmatter
  • Acknowledgements
  • Contents
  • Introduction
  • I. Localization Theory
  • II. Spherical V-modules
  • III. Microlocalization and Irreducibility
  • IV. Singularities and Multiplicities
  • Bibliography
  • Index

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