Groups and group theory

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 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.

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.

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

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

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9-11 December 2018.

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

This book discusses the invertibility of fuzzy topological spaces and related topics.

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

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

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9-11 December 2018.

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 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.

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

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

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 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 book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics.

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 volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "e;Lie Theory and Its Applications in Physics"e;, held near Varna, Bulgaria, in June 2015.

This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics.

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

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which 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 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.

This second edition addresses the question of which finite groups occur as Galois groups over a given field.

When we began to consider the scope of this book, we envisaged a catalogue supplying at least one abstract definition for any finitely- generated group that the reader might propose.

It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years.

This book is based on several courses given by the authors since 1966.

The 1963 Gottingen notes of T.

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

About 60 years ago, R.

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