Jordan Triple Systems by the Grid Approach

Jordan Triple Systems by the Grid Approach

Author: Erhard Neher

Publisher: Springer

Published: 2006-11-15

Total Pages: 206

ISBN-13: 354047921X

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Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.


Jordan Triple Systems by the Grid Approach

Jordan Triple Systems by the Grid Approach

Author: Erhard Neher

Publisher: Berlin ; New York : Springer-Verlag

Published: 1987

Total Pages: 192

ISBN-13: 9780387183626

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Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.


The Jewish Jordan's Triple Threat

The Jewish Jordan's Triple Threat

Author: Tamir Goodman

Publisher: Diversion Books

Published: 2013-03-12

Total Pages: 120

ISBN-13: 1626810109

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Reminiscent of Phil Jackson’s SACRED HOOPS, Tamir Goodman’s Triple Threat explores physical, mental, and spiritual lessons, on and off the court. Tamir Goodman was dubbed “The Jewish Jordan” by SPORTS ILLUSTRATED for the unorthodox combination of basketball prowess and devout faith that he brought with him onto the court as a top-ranked high school recruit, D-I and professional basketball player. Goodman’s book features practical basketball training tips, strategies to contend with the mental side of the game, and game-like scenarios to demonstrate how this advice will pay off on the court. The book also takes readers on a fascinating journey through Goodman’s career, a highlight of which includes Goodman making history as the first Jewish player to play D-I and professional basketball while wearing a yarmulke and refraining from playing on the Jewish Sabbath. By weaving the hands-on advice with the intriguing personal stories, Goodman examines the basketball fundamentals of shooting, ball-handling and passing from the physical, mental and spiritual perspectives and assigns each of these moves a deeper meaning. Goodman uses examples from his career to make the point that adding an individualized spiritual element to physical and mental training can help athletes take their game to the next level, while also helping them to identify and achieve meaningful success on the court and in life. "The nickname 'Jewish Jordan' might roll off the tongue, but Tamir Goodman's journey to realize his basketball dreams was no breeze. I thoroughly enjoyed reliving all the twists and turns through HIS eyes—one of the finest sportsmen and ambassadors that our people have ever known – in this captivating book." —Marc Stein, ESPN NBA Reporter "… an inspiring book with expert basketball advice that is great for players of all levels." —Omri Casspi, Small Forward for the NBA’s Cleveland Cavaliers “… a fascinating look at one man's talents on the court, in his soul, and with an ultimate higher purpose. This book is for anyone interested in the skills of serious sportsmanship and the nuances of living an integrated and rich religious life. Tamir takes the concept of athleticism as a meaningful pursuit to the highest and most profound level. What a wonderful, joyful and superbly elegant exploration into the worlds of sports, religion, and life's purpose.” —Mayim Bialik, Ph.D., CLEC, Actress—The Big Bang Theory "As a DC area native, I have crystal clear memories of the Jewish Jordan phenomena and the national attention his story created. While he was obviously an exceptional basketball player, it was his unparalleled commitment to his faith that made him so impressive. This book is a refreshing look at what it takes to be successful on and off the court. It is a must read for all players and coaches. I couldn't put it down." —Alan Stein, Professional Basketball Strength & Conditioning Coach "I have had the honor and privilege of watching Tamir Goodman conduct a basketball camp for children, so I have seen him put these words into action. For all the wonderful advice included in Triple Threat, it is his combined love affair with basketball and Judaism, and his spiritual devotion to both that stands out for me. His playing career was far too short, but his passion for his game—and his God—endures.'' —Mary Schmitt Boyer, sportswriter and President of the Professional Basketball Writers Association


Jordan Triple Systems by the Grid Approach

Jordan Triple Systems by the Grid Approach

Author: Erhard Neher

Publisher: Berlin ; New York : Springer-Verlag

Published: 1987

Total Pages: 192

ISBN-13: 9780387183626

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Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.


A Taste of Jordan Algebras

A Taste of Jordan Algebras

Author: Kevin McCrimmon

Publisher: Springer Science & Business Media

Published: 2006-05-29

Total Pages: 584

ISBN-13: 0387217967

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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.


Fields Medallists' Lectures

Fields Medallists' Lectures

Author: Michael Francis Atiyah

Publisher: World Scientific

Published: 1997

Total Pages: 652

ISBN-13: 9789810231170

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Although not as publicly well-known as the Nobel Prizes, the Fields Medal shares the same intellectual standing and is the equivalent award in the field of mathematics. This volume presents a selected list of 22 Fields Medallists and their contributions to give a highly interesting and varied bird's eye view of mathematics over the past 60 years. The contributions relate directly to the work for which the Medals were awarded or to the medallists' more current interests. In most cases, they are preceded by the introductory speech given by another leading mathematician during the prize ceremony, a photograph and up-to-date biographical notice.


Jordan Triple Systems in Complex and Functional Analysis

Jordan Triple Systems in Complex and Functional Analysis

Author: José M. Isidro

Publisher: American Mathematical Soc.

Published: 2019-12-09

Total Pages: 560

ISBN-13: 1470450836

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This book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB∗-triples and JBW∗-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.


Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

Author: Jacob Greenstein

Publisher: Springer Nature

Published: 2022-03-11

Total Pages: 453

ISBN-13: 3030638499

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This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference “Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification”, held on the occasion of Chari’s 60th birthday at the Catholic University of America in Washington D.C., June 2018. The chapters that follow present a broad view of the area, featuring surveys, original research, and an overview of Vyjayanthi Chari’s significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including: String diagrams and categorification Quantum affine algebras and cluster algebras Steinberg groups for Jordan pairs Dynamical quantum determinants and Pfaffians Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification will be an ideal resource for researchers in the fields of representation theory and mathematical physics.