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Lie Algebras and Related Topics.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 1990Copyright date: ©1990Edition: 1st edDescription: 1 online resource (352 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821876985
Subject(s): Genre/Form: Additional physical formats: Print version:: Lie Algebras and Related TopicsDDC classification:
  • 512/.5
LOC classification:
  • QA252.3 -- .L54 1988eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Conference talks -- Abstracts of talks -- Conference participants -- Isotropic simple Lie algebras of type D4 -- On involutory subalgebras of Kac-Moody Lie algebras -- Structure of certain simple Lie algebras of characteristic three -- Calculus of some functions on the root lattice -- Banach manifolds and their automorphisms associated with groups of type C∞ and D∞ -- The exceptional affine algebra E8(1), triality and chiral algebras -- A characterization of the general Lie algebras of Cartan type W(n: m) -- The 785 conjugacy classes of rational elements of finite order in E8 -- The primitives of the continuous linear dual of a Hopf algebra as the dual Lie algebra of a Lie coalgebra -- On irreducible highest weight representations of some affine Lie algebras -- Hyperalgebras, highest weight categories and finite dimensional algebras -- Extensions of representations of semisimple Lie algebras -- Enveloping algebras and division rings for Lie p-algebras -- Serre relations -- The number of irreducible representations of a finite coxeter group -- The role of p-envelopes in the theory of modular Lie algebras -- On modular subalgebras in Lie algebras of prime characteristic -- Cocompact subgroups of semisimple Lie groups.
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Intro -- Contents -- Preface -- Conference talks -- Abstracts of talks -- Conference participants -- Isotropic simple Lie algebras of type D4 -- On involutory subalgebras of Kac-Moody Lie algebras -- Structure of certain simple Lie algebras of characteristic three -- Calculus of some functions on the root lattice -- Banach manifolds and their automorphisms associated with groups of type C∞ and D∞ -- The exceptional affine algebra E8(1), triality and chiral algebras -- A characterization of the general Lie algebras of Cartan type W(n: m) -- The 785 conjugacy classes of rational elements of finite order in E8 -- The primitives of the continuous linear dual of a Hopf algebra as the dual Lie algebra of a Lie coalgebra -- On irreducible highest weight representations of some affine Lie algebras -- Hyperalgebras, highest weight categories and finite dimensional algebras -- Extensions of representations of semisimple Lie algebras -- Enveloping algebras and division rings for Lie p-algebras -- Serre relations -- The number of irreducible representations of a finite coxeter group -- The role of p-envelopes in the theory of modular Lie algebras -- On modular subalgebras in Lie algebras of prime characteristic -- Cocompact subgroups of semisimple Lie groups.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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