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Book DetailsContemporary MathematicsVolume: 652; 2015; 242 ppMSC: Primary 17; 16;
This volume contains the proceedings of the Workshop on Lie Algebras, in honor of Helmut Strade's 70th Birthday, held from May 22–24, 2013, at the Università degli Studi di MilanoBicocca, Milano, Italy.
Lie algebras are at the core of several areas of mathematics, such as, Lie groups, algebraic groups, quantum groups, representation theory, homogeneous spaces, integrable systems, and algebraic topology.
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 as well as the Koszulity of (restricted) Lie algebras and Lie properties of group algebras or restricted universal enveloping algebras.ReadershipGraduate students and research mathematicians interested in Lie theory, quantum groups, and representation theory.

Table of Contents

Articles

Marina Avitabile and Sandro Mattarei  Grading Switching for Modular NonAssociative Algebras

Yuri Bahturin, Mikhail Kochetov and Jason McGraw  Gradings by Groups on Cartan Type Lie Algebras

Alexander Baranov  Simple Locally Finite Lie Algebras of Diagonal Type

Alberto Elduque  Okubo Algebras: Automorphisms, Derivations and Idempotents

Paolo Faccin and Willem A. de Graaf  Constructing Semisimple Subalgebras of Real Semisimple Lie Algebras

Lutz Hille  Tilting Modules over the Path Algebra of Type $\mathbb {A}$, Polytopes, and Catalan Numbers

Gregory T. Lee, Sudarshan K. Sehgal and Ernesto Spinelli  Lie Identities on Skew Elements in Group Algebras

Alexander Premet  Regular Derivations of Truncated Polynomial Rings

Salvatore Siciliano and Hamid Usefi  Lie Properties of Restricted Enveloping Algebras

Serge Skryabin  Generic Semisimplicity of Reduced Enveloping Algebras

Zhaojia Tong, Naihong Hu and Xiuling Wang  Modular Quantizations of Lie Algebras of Cartan Type $H$ via Drinfel’d Twists

Georgia Benkart and Jörg Feldvoss  Some Problems in the Representation Theory of Simple Modular Lie Algebras

Willem A. De Graaf  Conjugacy of Nilpotent Elements in Characteristic $p$

Gregory T. Lee, Sudarshan K. Sehgal and Ernesto Spinelli  Problems on Lie Properties of Skew and Symmetric Elements of Group Rings

Salvatore Siciliano and Hamid Usefi  Some Problems on Lie Properties of Restricted Enveloping Algebras

Serge Skryabin  Open Questions on Modular Lie Algebras

Thomas Weigel  Koszul Lie Algebras


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This volume contains the proceedings of the Workshop on Lie Algebras, in honor of Helmut Strade's 70th Birthday, held from May 22–24, 2013, at the Università degli Studi di MilanoBicocca, Milano, Italy.
Lie algebras are at the core of several areas of mathematics, such as, Lie groups, algebraic groups, quantum groups, representation theory, homogeneous spaces, integrable systems, and algebraic topology.
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 as well as the Koszulity of (restricted) Lie algebras and Lie properties of group algebras or restricted universal enveloping algebras.
Graduate students and research mathematicians interested in Lie theory, quantum groups, and representation theory.

Articles

Marina Avitabile and Sandro Mattarei  Grading Switching for Modular NonAssociative Algebras

Yuri Bahturin, Mikhail Kochetov and Jason McGraw  Gradings by Groups on Cartan Type Lie Algebras

Alexander Baranov  Simple Locally Finite Lie Algebras of Diagonal Type

Alberto Elduque  Okubo Algebras: Automorphisms, Derivations and Idempotents

Paolo Faccin and Willem A. de Graaf  Constructing Semisimple Subalgebras of Real Semisimple Lie Algebras

Lutz Hille  Tilting Modules over the Path Algebra of Type $\mathbb {A}$, Polytopes, and Catalan Numbers

Gregory T. Lee, Sudarshan K. Sehgal and Ernesto Spinelli  Lie Identities on Skew Elements in Group Algebras

Alexander Premet  Regular Derivations of Truncated Polynomial Rings

Salvatore Siciliano and Hamid Usefi  Lie Properties of Restricted Enveloping Algebras

Serge Skryabin  Generic Semisimplicity of Reduced Enveloping Algebras

Zhaojia Tong, Naihong Hu and Xiuling Wang  Modular Quantizations of Lie Algebras of Cartan Type $H$ via Drinfel’d Twists

Georgia Benkart and Jörg Feldvoss  Some Problems in the Representation Theory of Simple Modular Lie Algebras

Willem A. De Graaf  Conjugacy of Nilpotent Elements in Characteristic $p$

Gregory T. Lee, Sudarshan K. Sehgal and Ernesto Spinelli  Problems on Lie Properties of Skew and Symmetric Elements of Group Rings

Salvatore Siciliano and Hamid Usefi  Some Problems on Lie Properties of Restricted Enveloping Algebras

Serge Skryabin  Open Questions on Modular Lie Algebras

Thomas Weigel  Koszul Lie Algebras