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Classifying the Absolute Toral Rank Two Case, Helmut Strade


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Автор: Helmut Strade
Название:  Classifying the Absolute Toral Rank Two Case
ISBN: 9783110516760
Издательство: Walter de Gruyter
Классификация:

ISBN-10: 3110516764
Обложка/Формат: Hardback
Страницы: 394
Вес: 0.82 кг.
Дата издания: 10.04.2017
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 22
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra, MATHEMATICS / Algebra / Abstract,MATHEMATICS / Group Theory
Основная тема: MATHEMATICS / Algebra / Abstract,MATHEMATICS / Group Theory
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:

The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long standing one. Work on this question has been directed by the Kostrikin Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every simple finite dimensional simple Lie algebra over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type.

This is the second part of a three-volume book about the classifi cation of the simple Lie algebras over algebraically closed fi elds of characteristic > 3. The first volume contains the methods, examples and a first classification result. This second volume presents insight in the structure of tori of Hamiltonian and Melikian algebras. Based on sandwich element methods due to A. I. Kostrikin and A. A. Premet and the investigations of filtered and graded Lie algebras, a complete proof for the classification of absolute toral rank 2 simple Lie algebras over algebraically closed fields of characteristic > 3 is given.

Contents

  • Tori in Hamiltonian and Melikian algebras
  • 1-sections
  • Sandwich elements and rigid tori
  • Towards graded algebras
  • The toral rank 2 case



Crime Classification Manual - A Standard System for Investigating and Classifying Violent Crimes, Third Edition

Автор: Douglas
Название: Crime Classification Manual - A Standard System for Investigating and Classifying Violent Crimes, Third Edition
ISBN: 1118305051 ISBN-13(EAN): 9781118305058
Издательство: Wiley
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Цена: 9496.00 р.
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Описание: A thorough revision of the landmark book that standardized the language, terminology, and classifications used throughout the criminal justice system, Crime Classification Manual, Third Edition now adds new coverage of areas affected by globalization and new technologies, as well as new crime scene examples and analyses.

Classifying Science

Автор: Rick Szostak
Название: Classifying Science
ISBN: 9048167906 ISBN-13(EAN): 9789048167906
Издательство: Springer
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Цена: 34799.00 р.
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Описание: Notably, the classifications of both theory types and methods allow the key strengths and weaknesses of different theories and methods to be readily discerned and compared.

Classifying Reality

Автор: Oderberg
Название: Classifying Reality
ISBN: 1118508351 ISBN-13(EAN): 9781118508350
Издательство: Wiley
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Цена: 2970.00 р.
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Описание: Assembling the views of today s leading metaphysicians on primary issues concerning the structure of reality and its taxonomy, this collection gets straight to the heart of one of the most hotly contested debates between philosophers and scientists.

Climate Change and United States Forests

Автор: Peterson David L.; James M. Vose; Toral Patel-Weyn
Название: Climate Change and United States Forests
ISBN: 9400775148 ISBN-13(EAN): 9789400775145
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This volume offers a scientific assessment of the effects of climatic variability and change on forest resources in the United States. It serves as a framework for managing U.S. forest resources in the context of climate change.

Classifying by Race

Автор: Peterson Paul E.
Название: Classifying by Race
ISBN: 0691601712 ISBN-13(EAN): 9780691601717
Издательство: Wiley
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Цена: 7762.00 р.
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Описание:

The contemporary debate over racial classification has been dominated by fringe voices in American society. Cries from the right say history should be abrogated and public policy made color-blind, while zealots of the left insist that all customs, language, institutions, and practices are racially tinged and that only aggressive, color-conscious programs can reverse the course of American history. The essays in this volume, however, recognize that racial classification is an issue that cuts too deep and poses too many constitutional questions to be resolved by slogans of either the right or the left.

The contributors to this volume are James Alt, Kenneth Benoit, Henry Brady, John Bruce, Rodolfo O. de la Garza, Andrew Gelman, Lani Guinier, Fredrick C. Harris, Gary King, Robert C. Lieberman, David Ian Lublin, David Metz, Paul E. Peterson, Kay Lehman Schlozman, Kenneth Shepsle, Theda Skocpol, Katherine Tate, Richard Valelly, Sidney Verba, and Margaret Weir.

Originally published in 1995.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Dignity, Rank, and Rights

Автор: Waldron Jeremy
Название: Dignity, Rank, and Rights
ISBN: 0190235446 ISBN-13(EAN): 9780190235444
Издательство: Oxford Academ
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Цена: 3642.00 р.
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Описание: Writers on human dignity roughly divide between those who stress the social origins of this concept and its role in marking rank and hierarchy, and those who follow Kant in grounding dignity in an abstract and idealized philosophical conception of human beings. In these lectures, Jeremy
Waldron contrives to combine attractive features of both strands. In the first lecture, Waldron presents a conception of dignity that preserves its ancient association with rank and station, thus allowing him to tap rich historical resources while avoiding what many perceive as the excessive
abstraction and dubious metaphysics of the Kantian strand. At the same time he argues for a conception of human dignity that amounts to a generalization of high status across all human beings, and so attains the appealing universality of the Kantian position. The second lecture focuses particularly
on the importance of dignity - understood in this way - as a status defining persons' relation to law: their presentation as persons capable of self-applying the law, capable of presenting and arguing a point of view, and capable of responding to law's demands without brute coercion. Together the
two lectures illuminate the relation between dignity conceived as the ground of rights and dignity conceived as the content of rights; they also illuminate important ideas about dignity as noble bearing and dignity as the subject of a right against degrading treatment; and they help us understand
the sense in which dignity is better conceived as a status than as a kind of value.

Classifying Christians: Ethnography, Heresiology, and the Limits of Knowledge in Late Antiquity

Автор: Berzon Todd S.
Название: Classifying Christians: Ethnography, Heresiology, and the Limits of Knowledge in Late Antiquity
ISBN: 0520284267 ISBN-13(EAN): 9780520284265
Издательство: Wiley
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Цена: 12672.00 р.
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Описание: Investigates late antique Christian heresiologies as ethnographies that catalogued and detailed the origins, rituals, doctrines, and customs of the heretics in explicitly polemical and theological terms.


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