Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration.
The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years.
This book is the first volume of proceedings from the joint conference X International Symposium "e;Quantum Theory and Symmetries"e; (QTS-X) and XII International Workshop "e;Lie Theory and Its Applications in Physics"e; (LT-XII), held on 19-25 June 2017 in Varna, Bulgaria.
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 thesis develops a new approach to Fermi liquids based on the mathematical formalism of coadjoint orbits, allowing Landau's Fermi liquid theory to be recast in a simple and elegant way as a field theory.
The fourth edition of this textbook provides a thoroughly updated and comprehensive introduction to contemporary and classic research and theories of family communication and family relationships.
Dieses Übungsbuch vermittelt die Grundlagen der Darstellungstheorie endlicher Gruppen anhand von Beispielaufgaben: Es bietet eine entsprechende Sammlung interessanter Übungsaufgaben mit ausführlichen Lösungen und Hinweisen.
Dieses Übungsbuch vermittelt die Grundlagen der Darstellungstheorie endlicher Gruppen anhand von Beispielaufgaben: Es bietet eine entsprechende Sammlung interessanter Übungsaufgaben mit ausführlichen Lösungen und Hinweisen.
This book presents a historical account of Felix Klein's "e;Comparative Reflections on Recent Research in Geometry"e; (1872), better known as his "e;Erlangen Program.
While the Cobordism Hypothesis provides a translation between topological and categorical structures, the subject of fusion categories arising from representations of finite groups has shown the need for a robust theory of duality in monoidal 2-categories.
Harmonic Analysis and the Theory of Probability by Salomon Bochner is a landmark monograph that rigorously links two central domains of modern mathematics: Fourier analysis and probability theory.
Harmonic Analysis and the Theory of Probability by Salomon Bochner is a landmark monograph that rigorously links two central domains of modern mathematics: Fourier analysis and probability theory.
The fourth edition of this textbook provides a thoroughly updated and comprehensive introduction to contemporary and classic research and theories of family communication and family relationships.
Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory.
Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group.
Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups.
As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field.
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics.
An almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group.
An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications.
Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension.
Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs.
Written by an engineer and sharply focused on practical matters, Solution of Ordinary Differential Equations by Continuous Groups explores the application of Lie groups to the solution of ordinary differential equations.
With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences.
From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics.
A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation.
Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved.
Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them.
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.
For graduate students unfamiliar with particle physics, An Introductory Course of Particle Physics teaches the basic techniques and fundamental theories related to the subject.
