Groups and group theory Books
World Scientific Publishing Co Pte Ltd Lectures On Lie Groups
Book SynopsisThis volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves (i.e. the geometry of conjugacy classes) is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces (cf. Lectures 5-9). This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.
£53.20
World Scientific Publishing Co Pte Ltd Lectures On Lie Groups
Book SynopsisThis volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves (i.e. the geometry of conjugacy classes) is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces (cf. Lectures 5-9). This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.Table of ContentsLinear Groups and Linear Representations; Lie Groups and Lie Algebras; Orbital Geometry of the Adjoint Action; Coxeter Groups, Weyl Reduction and Weyl Formulas; Structural Theory of Compact Lie Algebras; Classification Theory of Compact Lie Algebras and Compact Connected Lie Groups; Basic Structural Theory of Lie Algebras; Classification Theory of Complex Semi-Simple Lie Algebras; Lie Groups and Symmetric Spaces, the Classification of Real Semi-Simple Lie Algebras and Symmetric Spaces;
£30.40
Springer Introduction to Group Theory
Book SynopsisGroups and subgroups.- Normal subgroups.- Finite groups.- Series groups.
£49.49
Birkhäuser Symmetry in Geometry and Analysis Volume 2
Book SynopsisThe source operator method: an overview (Salem Ben Said, Jean-Louis Clerc and Khalid Koufany).- Some mixed norm bounds for the spectral projections of the Heisenberg sublaplacian (Valentina Casarino and Paolo Ciatti).- Four variations on the Rankin-Cohen brackets (Jean-Louis Clerc).- Restricting holomorphic discrete series representations to a compact dual pair (Jan Frahm and Quentin Labriet).- Nets of standard subspaces on non-compactly causal symmetric spaces (Jan Frahm, Karl-Hermann Neeb, and Gestur Ólafsson).- Heisenberg parabolically induced representations of Hermitian Lie groups, Part II: Next-to-minimal representations and branching rules (Jan Frahm, Clemens Weiske and Genkai Zhang).- Quantum-Classical Correspondences for Locally Symmetric Spaces (Joachim Hilgert).- Classification of K-type formulas for the Heisenberg ultrahyperbolic operator ?s for ?? ??(??, R) and tridiagonal determinants for local Heun functions (Toshihisa Kubo and Bent Ørsted).- Gauss--Berezin integral operators, spinors over orthosymplectic supergroups, and Lagrangian super-Grassmannians (Yury A. Neretin).- Towards Gan-Gross-Prasad type conjecture for discrete series representations of symmetric spaces (Bent Ørsted and Birgit Speh).- Pseudo-dual pairs and branching of Discrete Series (Bent Ørsted and Jorge A. Vargas).- Integral transformations of hypergeometric functions with several variables (Toshio Oshima).
£143.99
Birkhäuser Symmetry in Geometry and Analysis Volume 3
Book SynopsisA solution to Duflo's polynomial problem for nilpotent Lie groups restricted representations (Ali Baklouti and Hidenori Fujiwara).- Multiplicities and associated varieties in representation theory of reductive groups (Dmitry Gourevitch).-Kobayashi's Conjectures on the Discrete Decomposability (Masatoshi Kitagawa).- Kobayashi's multiplicity-one theorems in branching laws and orbit philosophy beyond tempered representations (Salma Nasrin).- Discrete branching laws of derived functor modules (Yoshiki Oshima).- Rankin-Cohen brackets for orthogonal Lie algebras and bilinear conformally equivariant differential operators (Petr Somberg).
£143.99
Birkhäuser Symmetry in Geometry and Analysis Volume 1
Book Synopsis
£116.99
Springer Verlag, Singapore A Gentle Introduction to Group Theory
Book SynopsisBackground Results in Set Theory.- Algebraic Operations on Integers.- The Integers Modulo.- Semigroups.- Groups.- The Symmetric Group.- Subgroups.- Groups Homomorphisms and Isomorphic Groups.- Classification of Finite Abelian Groups.- Group Theory and SageMath.
£40.49
EPB Publishers Pte Ltd Theory Of Group Representations And Applications
Book Synopsis
£77.90
EPB Publishers Pte Ltd Theory Of Group Representations And Applications
Book Synopsis
£64.60
World Scientific Publishing Co Pte Ltd Group Theory In Physics: An Introduction To
Book SynopsisAn introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained.A set of problems and solutions has been published in a separate booklet.Trade Review"This book is written to meet precisely this need of the lack of suitable textbooks on general group-theoretical methods in physics for all serious students of experimental and theoretical physics at the beginning graduate and advanced undergraduate level." (orig./WL) Physics Briefs "This book is well organized and the material is presented in an appealing and easily absorbed style, ... comes closer than any other to being a modern version of Wigner's classic Group Theory and its Application to the Quantum Mechanics of Atomic Spectra." Foundations of Physics "A valuable addition to group theory texts for physicists. It is most appropriate for students who have taken or are taking graduate quantum mechanics, especially if their interests lie in modern field theory." Mathematical Reviews
£51.30
