Solvable
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Representations Of Solvable Groups
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Author : Olaf Manz
language : en
Publisher: Cambridge University Press
Release Date : 1993-09-16
Representations Of Solvable Groups written by Olaf Manz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-16 with Mathematics categories.
Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer.
Between Nilpotent And Solvable
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Author : Henry G. Bray
language : en
Publisher: Polygonal Publishing House
Release Date : 1982
Between Nilpotent And Solvable written by Henry G. Bray and has been published by Polygonal Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Lectures On Finitely Generated Solvable Groups
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Author : Katalin A. Bencsath
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-28
Lectures On Finitely Generated Solvable Groups written by Katalin A. Bencsath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-28 with Mathematics categories.
Lectures on Finitely Generated Solvable Groups are based on the “Topics in Group Theory" course focused on finitely generated solvable groups that was given by Gilbert G. Baumslag at the Graduate School and University Center of the City University of New York. While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them. The study of finitely generated solvable groups involves many different threads; therefore these notes contain discussions on HNN extensions; amalgamated and wreath products; and other concepts from combinatorial group theory as well as commutative algebra. Along with Baumslag’s Embedding Theorem for Finitely Generated Metabelian Groups, two theorems of Bieri and Strebel are presented to provide a solid foundation for understanding the fascinating class of finitely generated solvable groups. Examples are also supplied, which help illuminate many of the key concepts contained in the notes. Requiring only a modest initial group theory background from graduate and post-graduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective.
Solvable
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Author : Arnaud Chevallier
language : en
Publisher: Pearson UK
Release Date : 2022-05-11
Solvable written by Arnaud Chevallier and has been published by Pearson UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-11 with categories.
A 3-step process for solving complex problems of any kind: Frame, Ideate, Decide. Solvable offers practical tools that are both evidence-based and presented in an accessible and visual way to help you improve all aspects of problem solving at work and home.
Characters Of Solvable Groups
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Author : I. Martin Isaacs
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-05-23
Characters Of Solvable Groups written by I. Martin Isaacs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-23 with Group theory categories.
This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups. It is subdivided into three parts: -theory, character correspondences, and M-groups. The -theory section contains an exposition of D. Gajendragadkar's -special characters, and it includes various extensions, generalizations, and applications of his work. The character correspondences section proves the McKay character counting conjecture and the Alperin weight conjecture for solvable groups, and it constructs a canonical McKay bijection for odd-order groups. In addition to a review of some basic material on M-groups, the third section contains an exposition of the use of symplectic modules for studying M-groups. In particular, an accessible presentation of E. C. Dade's deep results on monomial characters of odd prime-power degree is included. Very little of this material has previously appeared in book form, and much of it is based on the author's research. By reading a clean and accessible presentation written by the leading expert in the field, researchers and graduate students will be inspired to learn and work in this area that has fascinated the author for decades.
Characters And Blocks Of Solvable Groups
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Author : James Cossey
language : en
Publisher: Springer Nature
Release Date :
Characters And Blocks Of Solvable Groups written by James Cossey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Factorizations Of Almost Simple Groups With A Solvable Factor And Cayley Graphs Of Solvable Groups
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Author : Cai-Heng Li
language : en
Publisher: American Mathematical Society
Release Date : 2022-08-31
Factorizations Of Almost Simple Groups With A Solvable Factor And Cayley Graphs Of Solvable Groups written by Cai-Heng Li and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-31 with Mathematics categories.
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Representations Of Solvable Lie Groups
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Author : Didier Arnal
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-08
Representations Of Solvable Lie Groups written by Didier Arnal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-08 with Mathematics categories.
The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers.
Quasi Exactly Solvable Models In Quantum Mechanics
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Author : A.G Ushveridze
language : en
Publisher: CRC Press
Release Date : 2017-07-12
Quasi Exactly Solvable Models In Quantum Mechanics written by A.G Ushveridze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-12 with Science categories.
Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics. Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way forward. Although QES models are a recent discovery, the results are already numerous. Collecting the results of QES models in a unified and accessible form, Quasi-Exactly Solvable Models in Quantum Mechanics provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics. Because the applications of QES models are very wide, such as, for investigating non-perturbative phenomena or as a good approximation to exactly non-solvable problems, researchers in quantum mechanics-related fields cannot afford to be unaware of the possibilities of QES models.
Representation Theory Of Solvable Lie Groups And Related Topics
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Author : Ali Baklouti
language : en
Publisher: Springer Nature
Release Date : 2021-10-08
Representation Theory Of Solvable Lie Groups And Related Topics written by Ali Baklouti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 with Mathematics categories.
The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method created by Kirillov is the most powerful tool to build the ground frame of these theories. Many problems are studied in the nilpotent case, but several obstacles arise when encompassing exponentially solvable settings. The book offers the most recent solutions to a number of open questions that arose over the last decades, presents the newest related results, and offers an alluring platform for progressing in this research area. The book is unique in the literature for which the readership extends to graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces.