Transformation Groups, Katsuo Kawakubo

Автор: Olver
Название: Applications of Lie Groups to Differential Equations
ISBN: 0387950001 ISBN-13(EAN): 9780387950006
Издательство: Springer
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Описание: A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations.

Автор: Anatoli Klimyk; Konrad Schm?dgen
Название: Quantum Groups and Their Representations
ISBN: 3642646018 ISBN-13(EAN): 9783642646010
Издательство: Springer
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Описание: The invention of quantum groups is one of the outstanding achievements of mathematical physics and mathematics in the late twentieth century. The birth of the new theory and its rapid development are results of a strong interrelation between mathematics and physics. Quantu groups arose in the work of L.D. Faddeev and the Leningrad school on the inverse scattering method in order to solve integrable models. The algebra Uq(sh) appeared first in 1981 in a paper by P.P. Kulish and N.Yu. Reshetikhin on the study of integrable XYZ models with highest spin. Its Hopf algebra structure was discovered later by E.K. Sklyanin. A major event was the discovery by V.G. Drinfeld and M. Jimbo around 1985 of a class of Hopf algebras which can be considered as one-parameter deforma- tions of universal enveloping algebras of semisimple complex Lie algebras. These Hopf algebras will be called Drinfeld-Jimbo algebras in this book. Al- most simultaneously, S.L. Woronowicz invented the quantum group SUq(2) and developed his theory of compact quantum matrix groups. An algebraic approach to quantized coordinate algebras was given about this time by Yu.I. Manin.

Автор: Holt, Derek F. Rees, Sarah Rover, Claas E.
Название: Groups, languages and automata
ISBN: 1107152356 ISBN-13(EAN): 9781107152359
Издательство: Cambridge Academ
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Описание: Many connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Any necessary background material is provided, and connections are explored along a number of strands that lead to the forefront of current research in geometric group theory.

Автор: Lie Sophus
Название: Theory of Transformation Groups I
ISBN: 3662462109 ISBN-13(EAN): 9783662462102
Издательство: Springer
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Описание: Theory of Transformation Groups I

Автор: Sophus Lie; Jo?l Merker; Jo?l Merker; Friedrich En
Название: Theory of Transformation Groups I
ISBN: 3662512661 ISBN-13(EAN): 9783662512661
Издательство: Springer
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Описание:

Part I Modern Presentation.- 1 Three Principles of Thought Governing the Theory of Lie.- 2 Local Transformation Equations and Essential Parameters.- 3 Fundamental Differential Equations for Finite Continuous Transformation Groups.- 4 One-Term Groups and Ordinary Differential.- Part II English Translation.- 5 Complete Systems of Partial Differential Equations.- 7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations.- 8 Complete Systems Which Admit All Transformations of a One-term Group.- 9 Characteristic Relationships Between the Infinitesimal Transformations of a Group.- 10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants.- 11 The Defining Equations for the Infinitesimal Transformations of a Group.- 12 Determination of All Subgroups of an r-term Group.- 13 Transitivity, Invariants.- 14 Determination of All Systems of Equations Which Admit a Given r-term Group.- 15 Invariant Families of Infinitesimal Transformations.- 16 The Adjoint Group.- 17 Composition and Isomorphism.- 18 Finite Groups, the Transformations of Which Form Discrete Continuous Families.- 19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups.- 20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group.- 21 The Group of Parameters.- 22 The Determination of All r-term Groups.- 23 Invariant Families of Manifolds.- 24 Systatic and Asystatic Transformation Groups.- 25 Differential Invariants.- 26 The General Projective Group.- 27 Linear Homogeneous Groups.- 28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space.- 29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups.- Glossary of significantly used words.- Index./p>

Автор: Wolfgang L?ck
Название: Transformation Groups and Algebraic K-Theory
ISBN: 3540518460 ISBN-13(EAN): 9783540518464
Издательство: Springer
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Цена: 6282.00 р.
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Описание: Focuses on the relation between transformation groups and algebraic K-theory. This title studies the algebraic K-theory of modules over a category and applies to the fundamental category of G-space. It collects basic details of the theory of transformation groups that are hard to find in the literature.

Автор: Anthony Bak; Masaharu Morimoto; Fumihiro Ushitaki
Название: Current Trends in Transformation Groups
ISBN: 9401064911 ISBN-13(EAN): 9789401064910
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories.

Автор: Burness
Название: Classical Groups, Derangements and Primes
ISBN: 1107629446 ISBN-13(EAN): 9781107629448
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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Описание: This book provides an accessible graduate-level introduction to the finite classical groups and gives the first unified account of conjugacy and geometry of elements of prime order. The authors also provide a detailed discussion of derangements, making this book an essential resource for all researchers interested in permutation groups.

Автор: Milan Damnjanovic; Ivanka Milosevic
Название: Line Groups in Physics
ISBN: 3642111718 ISBN-13(EAN): 9783642111716
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This overview of line groups presents the mathematical foundation and classifications of line groups, quasi one-dimensional crystals and quantum numbers. It also contains important applications and extensive illustrations related to the physics of nanotubes.

Автор: Alexandrino Marcos M.
Название: Lie Groups and Geometric Aspects of Isometric Actions
ISBN: 3319166123 ISBN-13(EAN): 9783319166124
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries.

Название: Probability on Compact Lie Groups
ISBN: 3319078410 ISBN-13(EAN): 9783319078410
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Probability theory on compact Lie groups deals with the interaction between "chance" and "symmetry," a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing).

Автор: Stetkaer Henrik
Название: Functional Equations On Groups
ISBN: 9814513121 ISBN-13(EAN): 9789814513128
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, in careful detail, a number of illustrative examples like the cosine equation on the Heisenberg group and on the group SL(2, ?). Some of the examples are not even seen in existing monographs. Thus, it is an essential source of reference for further investigations.