Computers in Nonassociative Rings and Algebras
eBook - PDF

Computers in Nonassociative Rings and Algebras

  1. 308 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Computers in Nonassociative Rings and Algebras

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About This Book

Computers in Nonassociative Rings and Algebras provides information pertinent to the computational aspects of nonassociative rings and algebras. This book describes the algorithmic approaches for solving problems using a computer. Organized into 10 chapters, this book begins with an overview of the concept of a symmetrized power of a group representation. This text then presents data structures and other computational methods that may be useful in the field of computational algebra. Other chapters consider several mathematical ideas, including identity processing in nonassociative algebras, structure theory of Lie algebra, and representation theory. This book presents as well an historical survey of the use of computers in Lie algebra theory, with specific reference to computing the coupling and recoupling coefficients for the irreducible representations of simple Lie algebras. The final chapter deals with how representations of semi-simple Lie algebras can be symmetrized in a straightforward manner. This book is a valuable resource for mathematicians.

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Yes, you can access Computers in Nonassociative Rings and Algebras by Robert E. Beck,Bernard Kolman in PDF and/or ePUB format, as well as other popular books in Matemáticas & Álgebra abstracta. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483267951
Topic
Matemáticas
Subtopic
Álgebra abstracta

Table of contents

  1. Front Cover
  2. Computers in Nonassociative Rings and Algebras
  3. Copyright Page
  4. Table of Contents
  5. List of Contributors
  6. Preface
  7. CHAPTER 1. EXAMPLES, COUNTEREXAMPLES AND THE COMPUTER
  8. CHAPTER 2. PROCESSING IDENTITIES BY GROUP REPRESENTATION
  9. CHAPTER 3. AN UNNATURAL ATTACK ON THE STRUCTURE PROBLEM FOR THE FREE JORDAN RING ON 3 LETTERS: AN APPLICATION OF QUAD ARITHMETIC
  10. CHAPTER 4. ON THE INVARIANTS OF A LIE GROUP. I
  11. CHAPTER 5. COMPUTATION OF CASIMIR INVARIANTS OF LIE ALGEBRAS
  12. CHAPTER 6. COMPUTING THE STRUCTURE OF A LIE ALGEBRA
  13. CHAPTER 7. WHAT IS THE TYPICAL NILPOTENT LIE ALGEBRA?
  14. CHAPTER 8. INTEGER CLEBSCH-GORDAN COEFFICIENTS FOR LIE ALGEBRA REPRESENTATIONS
  15. CHAPTER 9. THE COMPUTATION OF BRANCHING RULES FOR REPRESENTATIONS OF SEMISIMPLE LIE ALGEBRAS
  16. CHAPTER 10. SYMMETRIZED KRONECKER POWERS OF REPRESENTATIONS OF SEMISIMPLE LIE ALGEBRAS
  17. Index