Tag: groups

Free Download Lie Groups by Daniel Bump
English | PDF | 2004 | 462 Pages | ISBN : 1441919376 | 41 MB

Free Download Dynamics of Foliations, Groups and Pseudogroups by Paweł Walczak
English | PDF (True) | 2004 | 236 Pages | ISBN : 3764370912 | 20.3 MB
Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy. In the 1980s they became considered as general dynamical systems. This book deals with their dynamics. Since "dynamics" is a very extensive term, we focus on some of its aspects only. Roughly speaking, we concentrate on notions and results related to different ways of measuring complexity of the systems under consideration. More precisely, we deal with different types of growth, entropies and dimensions of limiting objects. Invented in the 1980s (by E. Ghys, R. Langevin and the author) geometric entropy of a foliation is the principal object of interest among all of them.

Free Download Compact Matrix Quantum Groups and Their Combinatorics
English | 2023 | ISBN: 1009345737 | 301 Pages | PDF | 13 MB
An organised step-by-step introduction to the theory of compact quantum groups, starting with examples coming from quantum physics, which stems from the basic undergraduate mathematics curriculum. Introducing more abstract concepts along the way when needed, the reader is led from the fundamentals of the theory to recent research results. The emphasis is put on the combinatorics underlying compact quantum groups, which is very elementary to describe but leads to profound results. This book includes many exercises to help students work through new concepts and ideas and consolidate their understanding. The theory itself is illustrated by an array of examples, some related to other fields of Mathematics such as free probability theory or graph theory. The book is intended for graduate students, motivated undergraduate students and researchers.

Free Download Bill George, Douglas M. Baker, "True North Groups: A Powerful Path to Personal and Leadership Development"
English | 2011 | ISBN: 1609940075 | 200 pages | EPUB | 2 MB
The challenges we face these days are so great that we cannot rely entirely on ourselves, our communities, or our organizations to support us and help us stay on track. We need a small group of people with whom we can have in-depth discussions and share intimately about the most important things in our lives-our happiness and sadness, our hopes and fears, our beliefs and convictions. For the past thirty-five years, Bill George and Doug Baker have found the answer in what they call True North Groups.

Free Download The Classical Groups: Their Invariants and Representations (PMS-1) (Princeton Landmarks in Mathematics and Physics) by Hermann Weyl
English | October 21, 1946 | ISBN: 0691079234 | 336 pages | PDF | 15 Mb
In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics.

Free Download Groups, Invariants, Integrals, and Mathematical Physics
English | 2023 | ISBN: 3031256654 | 263 Pages | PDF (True) | 7 MB
This volume presents lectures given at the Wisla 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics. The lectures were dedicated to differential invariants – with a focus on Lie groups, pseudogroups, and their orbit spaces – and Poisson structures in algebra and geometry and are included here as lecture notes comprising the first two chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and category theory. Specific topics covered include:

Free Download Characters of Groups and Lattices over Orders: From Ordinary to Integral Representation Theory
English | 2022 | ISBN: 3110702436 | 373 Pages | EPUB (True) | 48 MB
This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer’s induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet’s result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan’s example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.

Free Download Skills for Leading Dynamic Small Groups
Published 6/2023
Created by Randy Wollf
MP4 | Video: h264, 1280×720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English | Duration: 28 Lectures ( 3h 13m ) | Size: 4.2 GB

Free Download Kalwant Bhopal, "Researching Marginalized Groups "
English | ISBN: 1138824038 | 2015 | 306 pages | EPUB | 921 KB
This edited collection explores issues that arise when researching "hard-to-reach" groups and those who remain socially excluded and marginalized in society, such as access, the use of gatekeepers, ethical dilemmas, "voice," and how such research contributes to issues of inclusion and social justice. The book uses a wide range of empirical and theoretical approaches to examine the difficulties, dilemmas and complexities surrounding research methodologies with particular groups. It emphasizes the importance of national and international perspectives in such discussions, and suggests innovative methodological procedures.

Free Download David L. Morgan, "Planning Focus Groups: v. 2: Planning Focus Groups "
English | ISBN: 076190817X | | 160 pages | EPUB | 968 KB
David L Morgan covers the wide range of practical tasks required in the course of a research project when using focus groups. Throughout, Planning Focus Groups emphasizes the clarifying purposes of the research project in order to collect data that meet the goals. The author extensively and concisely covers the basic decisions that are necessary to plan a research project using focus groups, such as who should be in the groups, the total number of groups, their size and much more. This volume also features a detailed discussion of personnel and budgets. Among the other topics covered are recruitment, selecting locations, and recording and managing data. Practical material includes checklists and recruitment tools.