Groups and group theory

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area.

This book addresses the nature of the chemical bond in inorganic and coordination compounds.

This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles.

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics.

Capturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades.

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them.

This book describes the relation between profinite semigroups and symbolic dynamics.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

The book consists of articles based on the XXXVIII Bialowieza Workshop on Geometric Methods in Physics, 2019.

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups.

This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical.

This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs.

This concise and practical textbook presents the essence of the theory on smooth manifolds.

This book provides a comprehensive introduction to Soergel bimodules.

This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics.

This textbook provides an introduction to representations of general *-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers.

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

This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing.

Occasioned by the international conference "e;Rings and Factorizations"e; held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules.

This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers.

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.