Clifford Algebras And Zeons: Geometry To Combinatorics And B, Staples George S

Автор: Susan M. Cooper; Sean Sather-Wagstaff
Название: Connections Between Algebra, Combinatorics, and Geometry
ISBN: 1493906259 ISBN-13(EAN): 9781493906253
Издательство: Springer
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Цена: 167700.00 T
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Автор: Takayuki Hibi
Название: The 50th Anniversary of Grobner Bases
ISBN: 4864970521 ISBN-13(EAN): 9784864970525
Издательство: Mare Nostrum (Eurospan)
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Цена: 68370.00 T
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Описание: Contains the proceedings of MSJ SI 2015 and consists of 14 papers related to computer algebra, algebraic statistics, D-modules, convex polytopes, and toric ideals. These papers enable readers to explore current trends in Grobner bases. Young researchers will find a treasury of fascinating research problems which are pending.

Автор: Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki
Название: Schubert Calculus - Osaka 2012
ISBN: 4864970386 ISBN-13(EAN): 9784864970389
Издательство: Mare Nostrum (Eurospan)
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Цена: 153390.00 T
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Описание: Contains the proceedings of the 5th MSJ Seasonal Institute on Schubert Calculus, held September 2012. It is recommended for researchers and graduate students interested in Schubert calculus and its many connections and applications to related areas of mathematics, such as geometric representation theory, combinatorial aspects of algebraic varieties arising in Lie theory, and equivariant topology.

Автор: Ceccherini-Silberstein
Название: Groups, Graphs and Random Walks
ISBN: 1316604403 ISBN-13(EAN): 9781316604403
Издательство: Cambridge Academ
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Цена: 79200.00 T
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Описание: An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the connections with other branches of mathematics. Covering topics from growth and amenability of groups, Schroedinger operators, and Poisson boundaries, this book provides a valuable and up-to-date reference for both researchers and graduates.

Автор: Blackburn
Название: Surveys in Combinatorics 2013
ISBN: 1107651956 ISBN-13(EAN): 9781107651951
Издательство: Cambridge Academ
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Цена: 59130.00 T
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Описание: This book consists of nine survey papers by internationally renowned mathematicians. It will be of interest to researchers in combinatorics, from graduate students who want an overview of several areas to advanced researchers who want to have an in-depth analysis of recent developments.

Автор: Shum Kar Ping, Zelmanov Efim, Kolesnikov Pavel, Wong Anita S M
Название: New Trends In Algebras And Combinatorics - Proceedings Of The Third International Congress In Algebras And Combinatorics (Icac2017)
ISBN: 9811215464 ISBN-13(EAN): 9789811215469
Издательство: World Scientific Publishing
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Цена: 190080.00 T
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Описание: This volume composed of twenty four research articles which are selected from the keynote speakers and invited lectures presented in the 3rd International Congress in Algebra and Combinatorics (ICAC2017) held on 25-28 August 2017 in Hong Kong and one additional invited article. This congress was specially dedicated to Professor Leonid Bokut on the occasion of his 80th birthday.

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: Marcelo Aguiar, Swapneel Mahajan
Название: Coxeter Groups and Hopf Algebras
ISBN: 0821853546 ISBN-13(EAN): 9780821853542
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject.