Book Volume 38 2014

Developments and Retrospectives in Lie Theory

Algebraic Methods

Editors:

ISBN: 978-3-319-09803-6 (Print) 978-3-319-09804-3 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-x

  2. No Access

    Chapter

    Pages 1-50

    Group Gradings on Lie Algebras, with Applications to Geometry. I

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    Chapter

    Pages 51-69

    Bounding the Dimensions of Rational Cohomology Groups

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    Chapter

    Pages 71-98

    Representations of the General Linear Lie Superalgebra in the BGG Category \(\mathcal{O}\)

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    Chapter

    Pages 99-109

    Three Results on Representations of Mackey Lie Algebras

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    Chapter

    Pages 111-136

    Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra

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    Chapter

    Pages 137-158

    The Deformation Complex is a Homotopy Invariant of a Homotopy Algebra

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    Chapter

    Pages 159-173

    Invariants of Artinian Gorenstein Algebras and Isolated Hypersurface Singularities

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    Chapter

    Pages 175-183

    Generalized Loop Modules for Affine Kac–Moody Algebras

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    Chapter

    Pages 185-206

    Twisted Localization of Weight Modules

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    Chapter

    Pages 207-228

    Dirac Cohomology and Generalization of Classical Branching Rules

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    Chapter

    Pages 229-246

    Cleft Extensions and Quotients of Twisted Quantum Doubles

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    Chapter

    Pages 247-274

    On the Structure of \(\mathbb{N}\) -Graded Vertex Operator Algebras

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    Chapter

    Pages 275-289

    Variations on a Casselman–Osborne Theme

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    Chapter

    Pages 291-330

    Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras

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    Chapter

    Pages 331-350

    Algebraic Methods in the Theory of Generalized Harish-Chandra Modules

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    Chapter

    Pages 351-384

    On Exceptional Vertex Operator (Super) Algebras

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    Chapter

    Pages 385-397

    The Cubic, the Quartic, and the Exceptional Group G2