Groups and group theory

The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years.

The most important invariant of a topological space is its fundamental group.

Targeted at undergraduate mathematics students, this book aims to cover courses in group theory.

Difference spaces arise by taking sums of finite or fractional differences.

Perhaps it is not inappropriate for me to begin with the comment that this book has been an interesting challenge to the translator.

In the second part of the 20th century, algebraic methods have emerged as a powerful tool to study theories of physical phenomena, especially those of quantal systems.

This book studies maximal solvable subgroups of classical groups over finite fields.

This book reviews recent results on low-dimensional quantumfield theories and their connection with quantum grouptheory and the theory of braided, balanced tensorcategories.

The study of the structure of Lie algebras over arbitrary fields is now a little more than thirty years old.

Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi.

Let FG be the group ring of a group G over a field F.

This thesis develops a new approach to Fermi liquids based on the mathematical formalism of coadjoint orbits, allowing Landau's Fermi liquid theory to be recast in a simple and elegant way as a field theory.

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds.

This book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics.

We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation).

Part I of this book is a short review of the classical part of representation theory.

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9-11 December 2018.

All the papers in this volume are research papers presenting new results.

This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building.

Assuming only basic algebra and Galois theory, the book develops the method of "e;algebraic patching"e; to realize finite groups and, more generally, to solve finite split embedding problems over fields.

This textbook provides an undergraduate introduction to Galois theory and its most notable applications.

This book introduces readers to key concepts in group theory through engaging puzzles.

One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram.

This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28-31 March 2022.

This book presents an original approach to the theory of finite groups, placing finite sporadic groups on an equal footing.

The book is intended to serve as an introductory course in group theory geared towards second-year university students.