Representation Theory, Group Rings, and Coding Theory

Representation Theory, Group Rings, and Coding Theory

Author: M. Isaacs

Publisher: American Mathematical Soc.

Published: 1989

Total Pages: 392

ISBN-13: 0821850989

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Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.


Lie Algebras and Related Topics

Lie Algebras and Related Topics

Author: Georgia Benkart

Publisher: American Mathematical Soc.

Published: 1990

Total Pages: 352

ISBN-13: 0821851195

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Discusses the problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $p>7$. This book includes topics such as Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac-Moody and Virasoro algebras.


Classical Groups and Related Topics

Classical Groups and Related Topics

Author: Alexander Hahn

Publisher: American Mathematical Soc.

Published: 1989

Total Pages: 272

ISBN-13: 082185089X

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During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.


Lie Algebras and Related Topics

Lie Algebras and Related Topics

Author: Marina Avitabile

Publisher: American Mathematical Soc.

Published: 2015-11-30

Total Pages: 258

ISBN-13: 1470410230

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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 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.


Free Group Rings

Free Group Rings

Author: Narain Gupta

Publisher: American Mathematical Soc.

Published: 1987

Total Pages: 144

ISBN-13: 0821850725

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This book deals with some aspects of linear techniques in combinatorial group theory having their origin in the work of Wilhelm Magnus in the 1930s. The central theme is the identification and properties of those subgroups of free groups which are induced by certain ideals of the integral group rings of free groups. This subject has been developed extensively, and the author seeks to present, in contemporary style, a systematic and comprehensive account of some of its developments. Included in the book are a solution of the Fox subgroup problem and an up-to-date development of the dimension subgroup problem. Aimed at graduate students and researchers in combinatorial group theory, the book requires a familiarity with the general terminology of free groups and group rings.


Group Actions on Rings

Group Actions on Rings

Author: Susan Montgomery

Publisher: American Mathematical Soc.

Published: 1985

Total Pages: 290

ISBN-13: 0821850466

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Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.


Topics in Complex Analysis

Topics in Complex Analysis

Author: Dorothy Brown Shaffer

Publisher: American Mathematical Soc.

Published: 1985

Total Pages: 154

ISBN-13: 0821850377

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Presents mathematical ideas based on papers given at an AMS meeting held at Fairfield University in October 1983. This work deals with the Loewner equation, classical results on coefficient bodies and modern optimal control theory. It also deals with support points for the class $S$, Loewner chains and the process of truncation.


Combinatorial Group Theory

Combinatorial Group Theory

Author: Benjamin Fine

Publisher: American Mathematical Soc.

Published: 1990

Total Pages: 206

ISBN-13: 0821851160

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Eighteen papers presented during a special AMS session designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results.