Groups and group theory

This book provides a complete and comprehensive classification of normal 2-coverings of non-abelian simple groups and their generalizations.

This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms "e;up to uniformly bounded error"e;.

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "e;Lie Theory and Its Applications in Physics"e; held near Varna (Bulgaria) in June 2019.

This book introduces the theory of enveloping semigroups-an important tool in the field of topological dynamics-introduced by Robert Ellis.

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction.

In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics.

This book presents the induced representation method, a powerful technique in quantum mechanics with applications in condensed matter physics.

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The past several years have witnessed a striking number of important developments in Complex Analysis.

This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building.

The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3.

Polycyclic groups are built from cyclic groups in a specific way.

Eugene Wigner is one of the few giants of 20th-century physics.

The theory of groups and Lie algebras is interesting for many reasons.

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.

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Modern mathematics has become an essential part of today's physicist's arsenal and this book covers several relevant such topics.

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68.

The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564.

This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6-10, 2017.

The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups.

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds.

Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics.

Gromov's theory of hyperbolic groups have had a big impactin combinatorial group theory and has deep connections withmany branches of mathematics suchdifferential geometry,representation theory, ergodic theory and dynamical systems.

This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1).

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (virtual) and 2023 (hybrid) respectively.

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups.

Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brun Workshop in Galway, Ireland in April 2011.

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The history of applications of space group theory to solid state physics goes back more than five decades.

Modern mathematics has become an essential part of today's physicist's arsenal and this book covers several relevant such topics.

The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications.

Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course.

Varieties of algebras are equationally defined classes of algebras, or "e;primitive classes"e; in MAL'CEV'S terminology.

The German edition of this book appeared in 1932 under the title "e;Die gruppentheoretische Methode in der Quantenmechanik"e;.

Most of the existing monographs on generalized inverses are based on linear algebra tools and geometric methods of Banach (Hilbert) spaces to introduce generalized inverses of complex matrices and operators and their related applications, or focus on generalized inverses of matrices over special rings like division rings and integral domains, and does not include the results in general algebraic structures such as arbitrary rings, semigroups and categories, which are precisely the most general cases.

This second edition of "e;Polynomial representations of GL (K)"e; consists of n two parts.

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.