The Theory of Nilpotent Groups, Anthony E. Clement; Stephen Majewicz; Marcos Zyman

Автор: Martin W. Liebeck, Gary M. Seitz
Название: Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras
ISBN: 0821869205 ISBN-13(EAN): 9780821869208
Издательство: Mare Nostrum (Eurospan)
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Цена: 96090.00 T
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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.

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.

Автор: Fischer, Veronique Ruzhansky, Michael V.
Название: Quantization on nilpotent lie groups
ISBN: 3319295578 ISBN-13(EAN): 9783319295572
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations.

Автор: Freudenburg Gene
Название: Algebraic Theory of Locally Nilpotent Derivations
ISBN: 3662572303 ISBN-13(EAN): 9783662572306
Издательство: Springer
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Цена: 139750.00 T
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Описание: Invariant Theory and Algebraic Transformation Groups VII

Автор: Goze Michel
Название: Nilpotent Lie Algebras
ISBN: 9048146712 ISBN-13(EAN): 9789048146710
Издательство: Springer
Цена: 144370.00 T
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Автор: Fischer Veronique, Ruzhansky Michael
Название: Quantization on Nilpotent Lie Groups
ISBN: 3319805991 ISBN-13(EAN): 9783319805993
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations.

Автор: Maria Gorelik; Vladimir Hinich; Anna Melnikov
Название: Representations and Nilpotent Orbits of Lie Algebraic Systems
ISBN: 3030235335 ISBN-13(EAN): 9783030235338
Издательство: Springer
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Цена: 139750.00 T
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Автор: Maria Gorelik; Vladimir Hinich; Anna Melnikov
Название: Representations and Nilpotent Orbits of Lie Algebraic Systems
ISBN: 3030235300 ISBN-13(EAN): 9783030235307
Издательство: Springer
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Цена: 102480.00 T
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Описание: This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic Modes of Representations,” the first of which was held from July 16-18 at the Weizmann Institute of Science and the second from July 19-23 at the University of Haifa. The chapters in this volume cover a range of topics, including:

Автор: Gene Freudenburg
Название: Algebraic Theory of Locally Nilpotent Derivations
ISBN: 3662553481 ISBN-13(EAN): 9783662553480
Издательство: Springer
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Цена: 121110.00 T
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Описание: Invariant Theory and Algebraic Transformation Groups VII

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.

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;

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.