Lie groups, geometry, and representation theory, 

Автор: Chriss, Neil Ginzburg, Victor
Название: Representation theory and complex geometry
ISBN: 0817649379 ISBN-13(EAN): 9780817649371
Издательство: Springer
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Цена: 121110.00 T
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Описание: "The book is largely self-contained...There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. This is the only available introduction to geometric representation theory...it has already proved successful in introducing a new generation to the subject."

Автор: A. Broer; Gert Sabidussi
Название: Representation Theories and Algebraic Geometry
ISBN: 0792351932 ISBN-13(EAN): 9780792351931
Издательство: Springer
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Цена: 256220.00 T
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Описание: Focusing on the rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, the author restricted lie algebras, and their companions. This work focuses on the development of geometric theories: D-modules, perverse sheafs, and more.

Автор: A. Broer; Gert Sabidussi
Название: Representation Theories and Algebraic Geometry
ISBN: 9048150752 ISBN-13(EAN): 9789048150755
Издательство: Springer
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Цена: 256220.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 28-August 8, 1997

Автор: Ben Webster
Название: Knot Invariants and Higher Representation Theory
ISBN: 1470426501 ISBN-13(EAN): 9781470426507
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide with previous invariants defined by Khovanov for $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$ and by Mazorchuk-Stroppel and Sussan for $\mathfrak{sl}_n$.

Автор: Hitoshi Konno, Hidetaka Sakai, Junichi Shiraishi, Takao Suzuki, Yasuhiko Yamada
Название: Representation Theory, Special Functions and Painvleve Equations - RIMS 2015
ISBN: 4864970505 ISBN-13(EAN): 9784864970501
Издательство: Mare Nostrum (Eurospan)
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Цена: 97020.00 T
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Описание: Contains 15 papers covering a variety of topics in the research fields where Masatoshi Noumi has made significant contributions over the years - representation theory, special functions, Painleve equations, among others.

Автор: Anna Beliakova, Aaron D. Lauda
Название: Categorification and Higher Representation Theory
ISBN: 1470424606 ISBN-13(EAN): 9781470424602
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras act on categories, with algebra elements acting by functors. The new level of structure in higher representation theory arises by studying the natural transformations between functors. This enhanced perspective brings into play a powerful new set of tools that deepens our understanding of traditional representation theory.This volume exhibits some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory.The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.

Автор: Roman Bezrukavnikov, Alexander Braverman, Zhiwei Yun
Название: Geometry of Moduli Spaces and Representation Theory
ISBN: 1470435748 ISBN-13(EAN): 9781470435745
Издательство: Mare Nostrum (Eurospan)
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Цена: 104500.00 T
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Описание: This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program ``Geometry of moduli spaces and representation theory'', and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory.Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan-Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry.Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections.The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.

Автор: Alex Martsinkovsky, Gordana Todorov, Kiyoshi Igusa
Название: Recent Developments in Representation Theory
ISBN: 1470419556 ISBN-13(EAN): 9781470419554
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: Contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held in May 2014. Three of the five lectures in this volume deal with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules.

Автор: Alex Martsinkovsky, Kiyoshi Igusa, Gordana Todorov
Название: Surveys in Representation Theory of Algebras
ISBN: 1470436795 ISBN-13(EAN): 9781470436797
Издательство: Mare Nostrum (Eurospan)
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Цена: 116430.00 T
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Описание: Contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. The selected articles reflect the diverse landscape of modern representation theory of algebras.

Автор: William Fulton; Joe Harris
Название: Representation Theory
ISBN: 0387975276 ISBN-13(EAN): 9780387975276
Издательство: Springer
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Цена: 60550.00 T
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Описание: Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.

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: Kailash C. Misra, Daniel K. Nakano, Brian J. Parshall
Название: Recent Developments in Lie Algebras, Groups and Representation Theory
ISBN: 0821869175 ISBN-13(EAN): 9780821869178
Издательство: Mare Nostrum (Eurospan)
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Цена: 79470.00 T
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Описание: This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.