Algebraic Structures of Symmetric Domains, Satake Ichiro

Автор: Macdonald I. G.
Название: Symmetric Functions and Hall Polynomials
ISBN: 0198739125 ISBN-13(EAN): 9780198739128
Издательство: Oxford Academ
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Цена: 57030.00 T
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Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.

Автор: Terras Audrey
Название: Harmonic Analysis on Symmetric Spaces--Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
ISBN: 1493980424 ISBN-13(EAN): 9781493980420
Издательство: Springer
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Цена: 55890.00 T
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Описание: This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations.

Автор: Beresford N. Parlett
Название: The Symmetric Eigenvalue Problem
ISBN: 0898714028 ISBN-13(EAN): 9780898714029
Издательство: Mare Nostrum (Eurospan)
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Цена: 83600.00 T
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Описание: Presents the mathematical knowledge needed in order to understand the art of computing eigenvalues of real symmetric matrices,

Автор: Henrik Schlichtkrull
Название: Hyperfunctions and Harmonic Analysis on Symmetric Spaces
ISBN: 0817632158 ISBN-13(EAN): 9780817632151
Издательство: Springer
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Цена: 93160.00 T
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This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.

Автор: Audrey Terras
Название: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincar? Upper Half-Plane
ISBN: 1493950134 ISBN-13(EAN): 9781493950133
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.

Автор: G. Gierz
Название: Continuous Lattices and Domains
ISBN: 0521803381 ISBN-13(EAN): 9780521803380
Издательство: Cambridge Academ
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Цена: 224930.00 T
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Описание: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area.

Автор: Satake Ichiro
Название: Algebraic Structures of Symmetric Domains
ISBN: 0691615454 ISBN-13(EAN): 9780691615455
Издательство: Wiley
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Цена: 63360.00 T
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Описание: This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. 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 editions preserve the origin

Автор: Eric S. Egge
Название: An Introduction to Symmetric Functions and Their Combinatorics
ISBN: 1470448998 ISBN-13(EAN): 9781470448998
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
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Описание: This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi-Trudi identities; the involution $\omega$; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan-Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood-Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic symmetric function, and Stanley's chromatic tree conjecture. Written in a conversational style, the book contains many motivating and illustrative examples. Whenever possible it takes a combinatorial approach, using bijections, involutions, and combinatorial ideas to prove algebraic results.The prerequisites for this book are minimal-familiarity with linear algebra, partitions, and generating functions is all one needs to get started. This makes the book accessible to a wide array of undergraduates interested in combinatorics.

Автор: Jens Gerlach Christensen, Susanna Dann, Matthew Dawson
Название: Representation Theory and Harmonic Analysis on Symmetric Spaces
ISBN: 1470440709 ISBN-13(EAN): 9781470440701
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Olafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia.The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Автор: Michio Kuga
Название: Kuga Varieties: Fiber Varieties Over a Symmetric Space Whose Fibers are Abelian Varieties
ISBN: 7040503042 ISBN-13(EAN): 9787040503043
Издательство: Mare Nostrum (Eurospan)
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Цена: 60990.00 T
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Описание: Kuga varieties are fiber varieties over symmetric spaces whose fibers are abelian varieties and have played an important role in the theory of Shimura varieties and number theory. This book is the first systematic exposition of these varieties and was written by their creators. It contains four chapters. Chapter 1 gives a detailed generalization to vector valued harmonic forms. These results are applied to construct Kuga varieties in Chapter 2 and to understand their cohomology groups. Chapter 3 studies Hecke operators, which are the most basic operators in modular forms. All the previous results are applied in Chapter 4 to prove the modularity property of certain Kuga varieties. Note that the modularity property of elliptic curves is the key ingredient of Wiles' proof of Fermat's Last Theorem. This book also contains one of Weil's letters and a paper by Satake which are relevant to the topic of the book.

Автор: Chun-Ju Lai, Li Luo, Weiqiang Wang, Yiqiang Li, Zhaobing Fan
Название: Affine Flag Varieties and Quantum Symmetric Pairs
ISBN: 1470441756 ISBN-13(EAN): 9781470441753
Издательство: Mare Nostrum (Eurospan)
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Цена: 80390.00 T
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Описание: Demonstrates that the quantum groups arising from Lusztig algebras and Schur algebras via stabilization procedures are (idempotented) coideal subalgebras of quantum groups of affine $\mathfrak{sl}$ and $\mathfrak{gl}$ types, respectively. In this way, the authors provide geometric realizations of eight quantum symmetric pairs of affine types.