Groups and group theory

With wide-ranging connections to fields from theoretical physics to computer science, Hopf algebras offer students a glimpse at the applications of abstract mathematics.

Braids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades.

This is an accessible book on the advanced symmetry methods for differential equations.

Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

The purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C).

For over forty years, Robert Gilmer's numerous articles and books have had a tremendous impact on research in commutative algebra.

Operational Quantum Theory II is a distinguished work on quantum theory at an advanced algebraic level.

Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level.

M-Solid Varieties of Algebras provides a complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on M-solid varieties of semirings and semigroups.

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century.

The second part of the book concludes with Plancherel's theorem in Chapter 8.

This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors.

The legacy of Galois was the beginning of Galois theory as well as group theory.

This book is an outgrowth of courses given by me for graduate students at York University in the past ten years.

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications.

From reviews of the German edition: "e;This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory.

The literature of the behavioural and social sciences is full of theory and research on learning and memory.

Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra.

The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra-namely Higgs bundles.

This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas of contemporary mathematics-from leading specialists on the subject.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

This book differentiates between categories of adolescent male offending and explores the behavioural and social profiles of those who become involved inviolent offending and organized crime.

This book differentiates between categories of adolescent male offending and explores the behavioural and social profiles of those who become involved inviolent offending and organized crime.

Work together for academic success*The Collins Academic Skills Series - winner of the ELTon 2014 Innovation in Learner Resources Award.

Gain some insight into the game of life.

Often perceived as dry and abstract, homological algebra nonetheless has important applications in a number of important areas, including ring theory, group theory, representation theory, and algebraic topology and geometry.

The theory of expander graphs is a rapidly developing topic in mathematics and computer science, with applications to communication networks, error-correcting codes, cryptography, complexity theory, and much more.

In the 1800s mathematicians introduced a formal theory of symmetry: group theory.

This book is intended for graduate students in Physics.

This book is intended for graduate students in Physics.

The Handbook of Rational and Social Choice provides an overview of issues arising in work on the foundations of decision theory and social choice over the past three decades.

This is an open access title available under the terms of a CC BY-NC-ND 4.

This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups.

Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need.

This volume resulted from presentations given at the international "e;Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series"e;, that took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain.

The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces.

This textbook originates from a course taught by the late Ken Ireland in 1972.

This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems.

The Langlands Programme is one of the most important areas in modern pure mathematics.

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere.

Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote.

Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled.

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory.

Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses.

The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra-namely Higgs bundles.

This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas of contemporary mathematics-from leading specialists on the subject.

The collected works of Turing, including a substantial amount of unpublished material, will comprise four volumes: Mechanical Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic.

Real Reductive Groups I is an introduction to the representation theory of real reductive groups.

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras.