Groups and group theory

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory.

This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016.

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

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "e;Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory"e;, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016.

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 proceedings records the 31st International Colloquium on Group Theoretical Methods in Physics ("e;Group 31"e;).

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.

The Standard Model is the foundation of modern particle and high energy physics.

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

The volume is a follow-up to the INdAM meeting "e;Special metrics and quaternionic geometry"e; held in Rome in November 2015.

This is a textbook that derives the fundamental theories of physics from symmetry.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.

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

Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers.

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.

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This book features a selection of articles based on the XXXV Bialowieza Workshop on Geometric Methods in Physics, 2016.

This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

This volume presents the lecture notes from the authors' three summer courses offered during the program "e;Automorphisms of Free Groups: Geometry, Topology, and Dynamics,"e; held at the Centre de Recerca Matematica (CRM) in Bellaterra, Spain.

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

This book contains selected papers based on talks given at the "e;Representation Theory, Number Theory, and Invariant Theory"e; conference held at Yale University from June 1 to June 5, 2015.

This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space.

This textbook covers the general theory of Lie groups.

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

Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries.

This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups.

The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables.

This book explores generalized Lorenz-Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables.

This book is the first one addressing quantum information from the viewpoint of group symmetry.

This book explains the group representation theory for quantum theory in the language of quantum theory.

This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids.

This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory.

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28.

This book contains a selection of papers presented at the session "e;Quaternionic and Clifford Analysis"e; at the 10th ISAAC Congress held in Macau in August 2015.

This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.

This book consists of both expository and research articles solicited from speakers at the conference entitled "e;Arithmetic and Ideal Theory of Rings and Semigroups,"e; held September 22-26, 2014 at the University of Graz, Graz, Austria.

This book features a selection of articles based on the XXXIV Bialowieza Workshop on Geometric Methods in Physics, 2015.

This monograph provides an accessible and comprehensive introduction to James Arthur's invariant trace formula, a crucial tool in the theory of automorphic representations.

Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014.

This volume contains seventeen of the best papers delivered at the SIGMAP Workshop 2014, representing the most recent advances in the field of symmetries of discrete objects and structures, with a particular emphasis on connections between maps, Riemann surfaces and dessins d'enfant.

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups.

This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto.

This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces.

Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups.

The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhauser in 1981.

This is an introduction to the mathematics behind the phrase "e;quantum Lie algebra"e;.