Groups and group theory

This textbook provides an undergraduate introduction to Galois theory and its most notable applications.

This textbook provides an undergraduate introduction to Galois theory and its most notable applications.

This book is intended mainly as a teaching tool directed toward those who desire a deeper understanding of group theory in terms of examples applicable to the physical world and/or of the physical world in terms of the symmetry properties which can best be formulated in terms of group theory.

This book studies maximal solvable subgroups of classical groups over finite fields.

This book studies maximal solvable subgroups of classical groups over finite fields.

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

By combinatorial semigroups, we mean a general term of concepts, facts and methods which are produced in investigating of algebraic and combinatorial properties, constructions, classifications and interrelations of formal languages and automata, codes, finite and infinite words by using semigroup theory and combinatorial analysis.

By combinatorial semigroups, we mean a general term of concepts, facts and methods which are produced in investigating of algebraic and combinatorial properties, constructions, classifications and interrelations of formal languages and automata, codes, finite and infinite words by using semigroup theory and combinatorial analysis.

This textbook provides a didactic introduction to the topic of group theory in physics, with a special focus on solid state physics issues.

This textbook provides a didactic introduction to the topic of group theory in physics, with a special focus on solid state physics issues.

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.

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

This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28-31 March 2022.

This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28-31 March 2022.

This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level.

The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, Mordell-Tornheim multiple zeta-functions, and Euler-Zagier multiple zeta-functions.

This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level.

This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup.

This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup.

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 book systematically develops the theory of continuous representations on p-adic Banach spaces.

This book systematically develops the theory of continuous representations on p-adic Banach spaces.

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 in Sofia, Bulgaria (on-line) in June 2021.

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

This book examines some issues involving climate change, human trafficking, and other serious world challenges made worse by climate change.

This book's area is special functions of one or several complex variables.

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.

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups.

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups.

This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation.

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

The book is intended to serve as an introductory course in group theory geared towards second-year university students.

The book is intended to serve as an introductory course in group theory geared towards second-year university students.

This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces.

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

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.

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.

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 falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together.

This book is about Lie group analysis of differential equations for physical and engineering problems.