Lie algebras and related topics : workshop on Lie algebras, in honor of Helmut Strade's 70th birthday, May 22-24, 2013, Università degli studi di Milano-Bicocca, Milano, Italy
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Lie algebras and related topics : workshop on Lie algebras, in honor of Helmut Strade's 70th birthday, May 22-24, 2013, Università degli studi di Milano-Bicocca, Milano, Italy
(Contemporary mathematics, 652)
American Mathematical Society, c2015
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references
Description and Table of Contents
Description
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 Universita degli Studi di Milano-Bicocca, 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.
Table of Contents
Grading switching for modular non-associative algebras by M. Avitabile and S. Mattarei
Gradings by groups on Cartan type Lie algebras by Y. Bahturin, M. Kochetov, and J. McGraw
Simple locally finite Lie algebras of diagonal type by A. Baranov
Okubo algebras: Automorphisms, derivations and idempotents by A. Elduque
Constructing semisimple subalgebras of real semisimple Lie algebras by P. Faccin and W. A. de Graaf
Tilting modules over the path algebra of type $\mathcal{A}$, polytopes, and Catalan numbers by L. Hille
Lie identities on skew elements in group algebras by G. T. Lee, S. K. Sehgal, and E. Spinelli
Regular derivations of truncated polynomial rings by A. Premet
Lie properties of restricted enveloping algebras by S. Siciliano and H. Usefi
Generic semisimplicity of reduced enveloping algebras by S. Skryabin
Modular quantizations of Lie algebras of Cartan type $H$ via Drinfeld twists by Z. Tong, N. Hu, and X. Wang
Some problems in the representation theory of simple modular Lie algebras by G. Benkart and J. Feldvoss
Conjugacy of nilpotent elements in characteristic $p$ by W. A. De Graaf
Problems on Lie properties of skew and symmetric elements of group rings by G. T. Lee, S. K. Sehgal, and E. Spinelli
Some problems in Lie properties of restricted enveloping algebras by S. Siciliano and H. Usefi
Open questions on modular Lie algebras by S. Skryabin Koszul
Lie algebras by T. Weigel
by "Nielsen BookData"