Groups and group theory

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

The finite simple groups are basic objects in algebra since many questions about general finite groups can be reduced to questions about the simple groups.

This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Bialowieza, Poland in July 2023.

This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint.

Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology.

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

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 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.

Inverse Galois Theory is concerned with the question of which finite groups occur as Galois Groups over a given field.

This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space.

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

The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact.

Diagrammatic Algebra provides the intuition and tools necessary to address some of the key questions in modern representation theory, chief among them Lusztig’s conjecture.

Learning and Generalization provides a formal mathematical theory addressing intuitive questions of the type: How does a machine learn a concept on the basis of examples?

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

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

Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics.

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

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

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.

The programme of the Conference at El Escorial included 4 main courses of 3-4 hours.

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

This book is a study of group theoretical properties of two dis- parate kinds, firstly finiteness conditions or generalizations of fini- teness and secondly generalizations of solubility or nilpotence.

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.

The central theme of this monograph is the relation between the structure of a group and the structure of its lattice of subgroups.

This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Bialowieza, Poland in July 2023.

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) in June 2023.

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

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

A groundbreaking theory has emerged for spectral analysis of pseudo-Riemannian locally symmetric spaces, extending beyond the traditional Riemannian framework.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The present text is an introduction to the theory of association schemes.

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.