Theory Of K Loops
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Theory of K-Loops
Author: Hubert Kiechle
language: en
Publisher: Springer Science & Business Media
Release Date: 2002-03-25
The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of examples are constructed. The theory for sharply 2-transitive groups is generalized to the theory of Frobenius groups with many involutions. A detailed discussion of the relativistic velocity addition based on the author's construction of K-loops from classical groups is also included. The first chapters of the book can be used as a text, the later chapters are research notes, and only partially suitable for the classroom. The style is concise, but complete proofs are given. The prerequisites are a basic knowledge of algebra such as groups, fields, and vector spaces with forms.
Loops, Knots, Gauge Theories
Author: Rodolfo Gambini
language: en
Publisher: Cambridge University Press
Release Date: 2023-02-16
This volume provides a self-contained introduction to applications of loop representations in particle physics and quantum gravity, in order to explore the gauge invariant quantization of Yang-Mills theories and gravity. First published in 1996, this title has been reissued as an Open Access publication on Cambridge Core.
Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology
Author: Michael B. Green
language: en
Publisher: Cambridge University Press
Release Date: 1988-07-29
A two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings