Groups and group theory

This brief investigates the asymptotic behavior of some PDEs on networks.

This book provides an introduction to some key subjects in algebra and topology.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays.

This book consists of contributions from the participants of the Abel Symposium 2019 held in Alesund, Norway.

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics.

This book is dedicated to the structure and combinatorics of classical Hopf algebras.

This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8.

This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups.

This book carefully presents a unified treatment of equivariant Poincare duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere.

Algebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years.

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common?

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume.

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York.

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.