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Jordan Structures in Lie Algebras
  • Language: en
  • Pages: 314

Jordan Structures in Lie Algebras

Explores applications of Jordan theory to the theory of Lie algebras. After presenting the general theory of nonassociative algebras and of Lie algebras, the book then explains how properties of the Jordan algebra attached to a Jordan element of a Lie algebra can be used to reveal properties of the Lie algebra itself.

Nominations of Carol A. Dalton, Anthony C. Epstein, and Heidi M. Pasichow
  • Language: en
  • Pages: 96
Modern Mathematics
  • Language: en
  • Pages: 615

Modern Mathematics

The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstandin...

Basic Algebra II
  • Language: en
  • Pages: 706

Basic Algebra II

This classic text and standard reference comprises all subjects of a first-year graduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.

Twelve papers in algebra
  • Language: en
  • Pages: 150

Twelve papers in algebra

Translations of articles on mathematics appearing in various Russian mathematical serials.

Algebras, Representations and Applications
  • Language: en
  • Pages: 299

Algebras, Representations and Applications

This volume contains contributions from the conference on "Algebras, Representations and Applications" (Maresias, Brazil, August 26-September 1, 2007), in honor of Ivan Shestakov's 60th birthday. The collection of papers presented here is of great interest to graduate students and researchers working in the theory of Lie and Jordan algebras and superalgebras and their representations, Hopf algebras, Poisson algebras, Quantum Groups, Group Rings and other topics.

Non-Associative Algebra and Its Applications
  • Language: en
  • Pages: 429

Non-Associative Algebra and Its Applications

This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come. The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.

NonasSociative Algebra and Its Applications
  • Language: en
  • Pages: 492

NonasSociative Algebra and Its Applications

  • Type: Book
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  • Published: 2019-05-20
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  • Publisher: CRC Press

A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.

The New Era in American Mathematics, 1920–1950
  • Language: en
  • Pages: 640

The New Era in American Mathematics, 1920–1950

"The 1920s witnessed the birth of a serious mathematical research community in America. Prior to this, mathematical research was dominated by scholars based in Europe-but World War I had made the importance of scientific and technological development clear to the American research community, resulting in the establishment of new scientific initiatives and infrastructure. Physics and chemistry were the beneficiaries of this renewed scientific focus, but the mathematical community also benefitted, and over time, began to flourish. Over the course of the next two decades, despite significant obstacles, this constellation of mathematical researchers, programs, and government infrastructure would...