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Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras, Martin W. Liebeck, Gary M. Seitz


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Автор: Martin W. Liebeck, Gary M. Seitz
Название:  Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras
ISBN: 9780821869208
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 0821869205
Обложка/Формат: Hardback
Страницы: 380
Вес: 0.84 кг.
Дата издания: 30.03.2012
Серия: Mathematical surveys and monographs
Язык: English
Иллюстрации: Illustrations
Размер: 259 x 184 x 24
Читательская аудитория: Professional and scholarly
Ключевые слова: Probability & statistics
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Поставляется из: Англии
Описание: This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.

Quantum Cluster Algebras Structures on Quantum Nilpotent Algebras

Автор: K.R. Goodearl, M.T. Yakimov
Название: Quantum Cluster Algebras Structures on Quantum Nilpotent Algebras
ISBN: 1470436949 ISBN-13(EAN): 9781470436940
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras.

Nilpotent Lie Algebras

Автор: M. Goze; Y. Khakimdjanov
Название: Nilpotent Lie Algebras
ISBN: 0792339320 ISBN-13(EAN): 9780792339328
Издательство: Springer
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Цена: 102480.00 T
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Описание: This volume is devoted to the theory of nilpotent Lie algebras and their applications. Topics discussed include the cohomology theory of Lie algebras, deformations and contractions, and the algebraic variety of the laws of Lie algebras.

Nilpotent Lie Algebras

Автор: Goze Michel
Название: Nilpotent Lie Algebras
ISBN: 9048146712 ISBN-13(EAN): 9789048146710
Издательство: Springer
Цена: 144370.00 T
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Algebraic Theory of Locally Nilpotent Derivations

Автор: Gene Freudenburg
Название: Algebraic Theory of Locally Nilpotent Derivations
ISBN: 3642067328 ISBN-13(EAN): 9783642067327
Издательство: Springer
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Цена: 130430.00 T
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Описание: Invariant Theory and Algebraic Transformation Groups VII

Nilpotent Orbits, Primitive Ideals, and Characteristic Classes

Автор: Walter Borho; J.-L. Brylinski; R. MacPherson
Название: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
ISBN: 0817634738 ISBN-13(EAN): 9780817634735
Издательство: Springer
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Цена: 121110.00 T
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Описание: - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form;

The Theory of Nilpotent Groups

Автор: Anthony E. Clement; Stephen Majewicz; Marcos Zyman
Название: The Theory of Nilpotent Groups
ISBN: 3319662112 ISBN-13(EAN): 9783319662114
Издательство: Springer
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Цена: 111790.00 T
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Описание: This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.

Representations of Lie Algebras, Quantum Groups and Related Topics

Автор: Naihuan Jing, Kailash C. Misra
Название: Representations of Lie Algebras, Quantum Groups and Related Topics
ISBN: 1470436965 ISBN-13(EAN): 9781470436964
Издательство: Mare Nostrum (Eurospan)
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Цена: 116430.00 T
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Описание: Contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held in November 2016. The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, and related topics.

Groups, Rings, Group Rings, and Hopf Algebras

Автор: Jeffrey Bergen, Stefan Catoiu, William Chin
Название: Groups, Rings, Group Rings, and Hopf Algebras
ISBN: 1470428059 ISBN-13(EAN): 9781470428051
Издательство: Mare Nostrum (Eurospan)
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Цена: 110880.00 T
Наличие на складе: Невозможна поставка.
Описание: Contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2015. Focused in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.


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