Developments and Retrospectives in Lie Theory Algebraic Methods /

This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contrib...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Mason, Geoffrey (Editor ), Penkov, Ivan (Editor ), Wolf, Joseph A. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Developments in Mathematics, 38
Temas:
Topological groups.
Lie groups.
Algebraic geometry.
Number theory.
Topological Groups and Lie Groups.
Algebraic Geometry.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Group gradings on Lie algebras with applications to geometry. I (Y. Bahturin, M. Goze, E. Remm)
  • Bounding the dimensions of rational cohomology groups (C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, C. Pillen, C.B. Wright)
  • Representations of the general linear Lie superalgebra in the BGG Category {$\mathcal O$} (J. Brundan)
  • Three results on representations of Mackey Lie algebras (A. Chirvasitu)
  • Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra (B. Cox, V. Futorny, R.A. Martins)
  • The deformation complex is a homotopy invariant of a homotopy algebra (V. Dolgushev, T. Willwacher)
  • Invariants of Artinian Gorenstein algebras and isolated hypersurface singularities (M.G. Eastwood, A.V. Isaev)
  • Generalized loop modules for affine Kac-Moody algebras (V. Futorny, I. Kashuba)
  • Twisted localization of weight modules (D. Grantcharov)
  • Dirac cohomology and generalization of classical branching rules (J.-S. Huang)
  • Cleft extensions and quotients of twisted quantum doubles (G. Mason, S.-H. Ng)
  • On the structure of ${\Bbb N}$-graded vertex operator algebras (G. Mason, G. Yamskulna)
  • Variations on a Casselman-Osborne theme (D. Miličić)
  • Tensor representations of Mackey Lie algebras and their dense subalgebras (I. Penkov, V. Serganova)
  • Algebraic methods in the theory of generalized Harish-Chandra modules (I. Penkov, G. Zuckerman)
  • On exceptional vertex operator (super) algebras (M.P. Tuite, H.D. Van)
  • The cubic, the quartic, and the exceptional group $G_2$ (A. van Groningen, J.F. Willenbring).

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