Groups and group theory

This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil.

This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018.

This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matematica (CRM) from March 13 to March 17, 2017.

This book, the first of two volumes, contains over 250 selected exercises in Algebra which have featured as exam questions for the Arithmetic course taught by the authors at the University of Pisa.

This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal.

The book consists of articles based on the XXXVII  Bialowieza Workshop on Geometric Methods in Physics, 2018.

This book is an exposition of the theoretical foundations of hyperbolic manifolds.

This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute.

This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications.

This book introduces the reader to the most important concepts and problems in the field of l2-invariants.

This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups.

This volume, a celebration of Anthony Joseph's fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area.

This book collects and coherently presents the research that has been undertaken since the author's previous book Module Theory (1998).

This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions.

This book provides an accessible introduction to the state of the art of representation theory of finite groups.

This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory.

This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees.

This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups.

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces.

This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience.

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research.

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group.

This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures.

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book  provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory.

This unique text/reference presents a unified approach to the formulation of Gestalt laws for perceptual grouping, and the construction of nested hierarchies by aggregation utilizing these laws.

In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 - February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics.

This textbook offers students with a basic understanding of group theory a preview of several interesting groups they would not typically encounter until later in their academic careers.

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world's leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory.

This volume resulted from presentations given at the international "e;Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series"e;, that took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain.

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics.

This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.

This book collects papers based on the XXXVI Bialowieza Workshop on Geometric Methods in Physics, 2017.

This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry.

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing.

This cross-disciplinary volume examines and reframes trauma as a social and political issue in the context of wider society, critiquing the widely accepted pathologizing of trauma and violence in current discourse.

This comprehensive resource provides a one-stop information repository, exploring all psychological aspects of Covid-19.

The k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order of V.

The Handbook of Personalized Persuasion provides the most comprehensive and state-of-the-art review of the expansive literature on personalized messaging in persuasion.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

The Quest for Significance: Harnessing the Need that Makes the World Go Round is a fascinating exploration of why we all seek Significance - a fundamental human motivation - and how we can understand it to help us lead better lives.

This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory.

This is the only book on the subject of group theory and Einstein's theory of gravitation.

In the 1800s mathematicians introduced a formal theory of symmetry: group theory.

Quantum Yang-Mills theory is now the foundation of most of elementary particle theory, and its predictions have been tested at many experimental laboratories, but its mathematical foundation is still unclear.