In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever ap
The classical groups: Their invariants and representations
β Scribed by Hermann Weyl
- Book ID
- 127417836
- Publisher
- Princeton Univ Pr
- Year
- 1946
- Tongue
- English
- Weight
- 3 MB
- Series
- Mathematics
- Edition
- 2nd
- Category
- Library
- ISBN-13
- 9780691079233
No coin nor oath required. For personal study only.
β¦ Synopsis
In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics.
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This book provides a detailed treatment of the most important quantum groups and q-deformed algebras, as well as their representations and co-representations. Many applications in mathematical and theoretical physics are presented, including topics such as q-oscillator algebras, quantum vector space