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Developments and Retrospectives in Lie Theory

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Cover of 'Developments and Retrospectives in Lie Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Group Gradings on Lie Algebras, with Applications to Geometry. I
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    Chapter 2 Bounding the Dimensions of Rational Cohomology Groups
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    Chapter 3 Representations of the General Linear Lie Superalgebra in the BGG Category 𝒪 $$\mathcal{O}$$
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    Chapter 4 Three Results on Representations of Mackey Lie Algebras
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    Chapter 5 Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra
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    Chapter 6 The Deformation Complex is a Homotopy Invariant of a Homotopy Algebra
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    Chapter 7 Invariants of Artinian Gorenstein Algebras and Isolated Hypersurface Singularities
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    Chapter 8 Generalized Loop Modules for Affine Kac–Moody Algebras
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    Chapter 9 Twisted Localization of Weight Modules
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    Chapter 10 Dirac Cohomology and Generalization of Classical Branching Rules
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    Chapter 11 Cleft Extensions and Quotients of Twisted Quantum Doubles
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    Chapter 12 On the Structure of ℕ $$\mathbb{N}$$ -Graded Vertex Operator Algebras
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    Chapter 13 Variations on a Casselman–Osborne Theme
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    Chapter 14 Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras
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    Chapter 15 Algebraic Methods in the Theory of Generalized Harish-Chandra Modules
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    Chapter 16 On Exceptional Vertex Operator (Super) Algebras
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    Chapter 17 The Cubic, the Quartic, and the Exceptional Group G 2
Attention for Chapter 8: Generalized Loop Modules for Affine Kac–Moody Algebras
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Chapter title
Generalized Loop Modules for Affine Kac–Moody Algebras
Chapter number 8
Book title
Developments and Retrospectives in Lie Theory
Published by
Springer, Cham, January 2014
DOI 10.1007/978-3-319-09804-3_8
Book ISBNs
978-3-31-909803-6, 978-3-31-909804-3
Authors

Vyacheslav Futorny, Iryna Kashuba, Futorny, Vyacheslav, Kashuba, Iryna