Groups and group theory

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties.

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view.

Now in its eleventh edition, Family Communication: Cohesion and Change continues to provide students with a foundational, accessible, and inclusive overview of the family communication field.

Now in its eleventh edition, Family Communication: Cohesion and Change continues to provide students with a foundational, accessible, and inclusive overview of the family communication field.

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 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.

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 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.

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

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

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

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

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

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

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

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

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

Groups and Symmetries: From Finite Groups to Lie Groups presents an introduction to the theory of group representations and its applications in quantum mechanics.

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

This book develops a new theory in convex geometry, generalizing positive bases and related to Caratheordory's Theorem by combining convex geometry, the combinatorics of infinite subsets of lattice points, and the arithmetic of transfer Krull monoids (the latter broadly generalizing the ubiquitous class of Krull domains in commutative algebra)This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization.

This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory.

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas.

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields.

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

This book gives a proof of Cherlin's conjecture for finite binary primitive permutation groups.

An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates.

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

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

This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups.

This book focuses on symmetries in the analysis and synthesis of architectural designs.

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 provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case.

This book studies diverse aspects of braid representations via knots and links.

This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids.

Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory.

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 textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises).

This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "e;Automorphic Forms and L-Functions"e;, held at the University of Heidelberg in 2016.

This volume examines mathematics as a product of the human mind and analyzes the language of "e;pure mathematics"e; from various advanced-level sources.

This highly readable book aims to ease the many challenges of starting undergraduate research.

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.

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