Quantum Cluster Algebras Structures on Quantum Nilpotent Algebras, K.R. Goodearl, M.T. Yakimov

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.

Автор: Goze Michel
Название: Nilpotent Lie Algebras
ISBN: 9048146712 ISBN-13(EAN): 9789048146710
Издательство: Springer
Цена: 144370.00 T
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Название: Homological methods, representation theory, and cluster algebras
ISBN: 3319745840 ISBN-13(EAN): 9783319745848
Издательство: Springer
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Цена: 43780.00 T
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Описание: This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras.

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: Sergey Fomin, Dylan Thurston
Название: Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
ISBN: 1470429675 ISBN-13(EAN): 9781470429676
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmuller space of the surface.

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: 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: 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: 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

Автор: M. Gekhtman, M. Shapiro, A. Vainshtein
Название: Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case
ISBN: 1470422581 ISBN-13(EAN): 9781470422585
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structures compatible with these cluster structures.

Автор: Costello
Название: Factorization Algebras in Quantum Field Theory
ISBN: 1107163102 ISBN-13(EAN): 9781107163102
Издательство: Cambridge Academ
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Цена: 146790.00 T
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Описание: Ideal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.

Автор: Franz
Название: Probability on Real Lie Algebras
ISBN: 110712865X ISBN-13(EAN): 9781107128651
Издательство: Cambridge Academ
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Цена: 116160.00 T
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Описание: This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. This book will appeal to advanced undergraduate and graduate students interested in the relations between algebra, probability, and quantum theory.