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Lie algebras and related topics / [edited by] Marina Avitabile, Jorg Feldvoss and Thomas Weigel.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 652.Publication details: Providence : American Mathematical Society, 2015.Description: xi, 242 p. ; 26 cmISBN:
  • 9781470410230 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Grading Switching for Modular Non-Associative Algebras -- Gradings by Groups on Cartan Type Lie Algebras -- Simple Locally Finite Lie Algebras of Diagonal Type -- Okubo Algebras: Automorphisms, Derivations and Idempotents -- Constructing Semisimple Subalgebras of Real Semisimple Lie Algebras -- Tilting Modules over the Path Algebra of Type A, Polytopes, and Catalan Numbers -- Lie Identities on Skew Elements in Group Algebras -- Regular Derivations of Truncated Polynomial Rings -- Lie Properties of Restricted Enveloping Algebras -- Generic Semisimplicity of Reduced Enveloping Algebras -- Modular Quantizations of Lie Algebras of Cartan Type H via Drinfel'd Twists -- Some Problems in the Representation Theory of Simple Modular Lie Algebras -- Conjugacy of Nilpotent Elements in Characteristic p -- Problems on Lie Properties of Skew and Symmetric Elements of Group Rings -- Some Problems on Lie Properties of Restricted Enveloping Algebras -- Open Questions on Modular Lie Algebras -- Koszul Lie Algebras.
Summary: Contains the proceedings of the Workshop on Lie Algebras held in May 2013. The first part of this volume combines research papers with survey papers by the invited speakers. The second part consists of several collections of problems on modular Lie algebras, their representations, and the conjugacy of their nilpotent elements.
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Includes bibliographical references.

Grading Switching for Modular Non-Associative Algebras --
Gradings by Groups on Cartan Type Lie Algebras --
Simple Locally Finite Lie Algebras of Diagonal Type --
Okubo Algebras: Automorphisms, Derivations and Idempotents --
Constructing Semisimple Subalgebras of Real Semisimple Lie Algebras --
Tilting Modules over the Path Algebra of Type A, Polytopes, and Catalan Numbers --
Lie Identities on Skew Elements in Group Algebras --
Regular Derivations of Truncated Polynomial Rings --
Lie Properties of Restricted Enveloping Algebras --
Generic Semisimplicity of Reduced Enveloping Algebras --
Modular Quantizations of Lie Algebras of Cartan Type H via Drinfel'd Twists --
Some Problems in the Representation Theory of Simple Modular Lie Algebras --
Conjugacy of Nilpotent Elements in Characteristic p --
Problems on Lie Properties of Skew and Symmetric Elements of Group Rings --
Some Problems on Lie Properties of Restricted Enveloping Algebras --
Open Questions on Modular Lie Algebras --
Koszul Lie Algebras.

Contains the proceedings of the Workshop on Lie Algebras held in May 2013. The first part of this volume combines research papers with survey papers by the invited speakers. The second part consists of several collections of problems on modular Lie algebras, their representations, and the conjugacy of their nilpotent elements.

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