Jordan Structures In Geometry And Analysis
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Jordan Structures In Geometry And Analysis
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Author : Cho-Ho Chu
language : en
Publisher:
Release Date : 2014-05-14
Jordan Structures In Geometry And Analysis written by Cho-Ho Chu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Functional analysis categories.
Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.
Jordan Structures In Geometry And Analysis
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Author : Cho-Ho Chu
language : en
Publisher: Cambridge University Press
Release Date : 2011-11-17
Jordan Structures In Geometry And Analysis written by Cho-Ho Chu 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 2011-11-17 with Mathematics categories.
Jordan theory has developed rapidly in the last three decades, but very few books describe its diverse applications. Here, the author discusses some recent advances of Jordan theory in differential geometry, complex and functional analysis, with the aid of numerous examples and concise historical notes. These include: the connection between Jordan and Lie theory via the Tits–Kantor–Koecher construction of Lie algebras; a Jordan algebraic approach to infinite dimensional symmetric manifolds including Riemannian symmetric spaces; the one-to-one correspondence between bounded symmetric domains and JB*-triples; and applications of Jordan methods in complex function theory. The basic structures and some functional analytic properties of JB*-triples are also discussed. The book is a convenient reference for experts in complex geometry or functional analysis, as well as an introduction to these areas for beginning researchers. The recent applications of Jordan theory discussed in the book should also appeal to algebraists.
Jordan Structures In Geometry And Physics
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Author : Radu Iordănescu
language : en
Publisher:
Release Date : 2003-12
Jordan Structures In Geometry And Physics written by Radu Iordănescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12 with Geometry, Differential categories.
Geometry Of State Spaces Of Operator Algebras
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Author : Erik M. Alfsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-13
Geometry Of State Spaces Of Operator Algebras written by Erik M. Alfsen 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 2002-12-13 with Mathematics categories.
In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non associative algebras generalize C*-algebras and von Neumann algebras re spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.
Non Associative Normed Algebras
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Author : Miguel Cabrera García
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-31
Non Associative Normed Algebras written by Miguel Cabrera García 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 2014-07-31 with Mathematics categories.
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Geometric Function Theory In Higher Dimension
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Author : Filippo Bracci
language : en
Publisher: Springer
Release Date : 2018-03-24
Geometric Function Theory In Higher Dimension written by Filippo Bracci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Mathematics categories.
The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.
Representations Of Elementary Abelian P Groups And Vector Bundles
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Author : David J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 2017
Representations Of Elementary Abelian P Groups And Vector Bundles written by David J. Benson 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 2017 with Mathematics categories.
An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.
The Philosophy And Physics Of Noether S Theorems
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Author : James Read
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-29
The Philosophy And Physics Of Noether S Theorems written by James Read 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 2022-09-29 with Science categories.
In 1918, Emmy Noether, in her paper Invariante Variationsprobleme, proved two theorems (and their converses) on variational problems that went on to revolutionise theoretical physics. 100 years later, the mathematics of Noether's theorems continues to be generalised, and the physical applications of her results continue to diversify. This centenary volume brings together world-leading historians, philosophers, physicists, and mathematicians in order to clarify the historical context of this work, its foundational and philosophical consequences, and its myriad physical applications. Suitable for advanced undergraduate and graduate students and professional researchers, this is a go-to resource for those wishing to understand Noether's work on variational problems and the profound applications which it finds in contemporary physics.
Combinatorics Of Minuscule Representations
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Author : R. M. Green
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21
Combinatorics Of Minuscule Representations written by R. M. Green 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 2013-02-21 with Mathematics categories.
Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.
A Taste Of Jordan Algebras
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Author : Kevin McCrimmon
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-29
A Taste Of Jordan Algebras written by Kevin McCrimmon 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 2006-05-29 with Mathematics categories.
This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.