Gerbal Representations of Double Loop Groups PDF Download

Author: Xinwen Zhu
Publisher:
ISBN:
Category :
Languages : en
Pages : 326

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Author:
Publisher: ScholarlyEditions
ISBN: 1490112162
Category : Mathematics
Languages : en
Pages : 1919

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Book Description
Issues in General and Specialized Mathematics Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about General Mathematics. The editors have built Issues in General and Specialized Mathematics Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Mathematics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author: Erhard Neher
Publisher: American Mathematical Soc.
ISBN: 082185237X
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Lie theory has connections to many other disciplines such as geometry, number theory, mathematical physics, and algebraic combinatorics. The interaction between algebra, geometry and combinatorics has proven to be extremely powerful in shedding new light on each of these areas. This book presents the lectures given at the Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras held at the University of Ottawa in 2009. It provides a systematic account by experts of some of the exciting developments in Lie algebras and representation theory in the last two decades. It includes topics such as geometric realizations of irreducible representations in three different approaches, combinatorics and geometry of canonical and crystal bases, finite $W$-algebras arising as the quantization of the transversal slice to a nilpotent orbit, structure theory of extended affine Lie algebras, and representation theory of affine Lie algebras at level zero. This book will be of interest to mathematicians working in Lie algebras and to graduate students interested in learning the basic ideas of some very active research directions. The extensive references in the book will be helpful to guide non-experts to the original sources.

Author: Wang Zheng-dong
Publisher:
ISBN:
Category :
Languages : en
Pages : 27

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Author: Alan L. Carey
Publisher: American Mathematical Soc.
ISBN: 0821851993
Category : Mathematics
Languages : en
Pages : 361

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Book Description
This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.

Author: Friedrich Wagemann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110750953
Category : Mathematics
Languages : en
Pages : 410

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Book Description
This book presents material in two parts. Part one provides an introduction to crossed modules of groups, Lie algebras and associative algebras with fully written out proofs and is suitable for graduate students interested in homological algebra. In part two, more advanced and less standard topics such as crossed modules of Hopf algebra, Lie groups, and racks are discussed as well as recent developments and research on crossed modules.

Author: Edward Frenkel
Publisher: American Mathematical Soc.
ISBN: 0821836749
Category : Mathematics
Languages : en
Pages : 418

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Book Description
Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. The book contains many original results, introduces important new concepts, and brings new insights into the theory of vertex algebras. The authors have made a great effort to make the book self-contained and accessible to readers of all backgrounds. Reviewers of the first edition anticipated that it would have a long-lasting influence on this exciting field of mathematics and would be very useful for graduate students and researchers interested in the subject. This second edition, substantially improved and expanded, includes several new topics, in particular an introduction to the Beilinson-Drinfeld theory of factorization algebras and the geometric Langlands correspondence.

Author: Geoff Daniels
Publisher: John Wiley & Sons
ISBN: 1118493540
Category : Medical
Languages : en
Pages : 950

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Book Description
Human Blood Groups is a comprehensive and fully referenced text covering both the scientific and clinical aspects of red cell surface antigens, including: serology, inheritance, biochemistry, molecular genetics, biological functions and clinical significance in transfusion medicine. Since the last edition, seven new blood group systems and over 60 new blood group antigens have been identified. All of the genes representing those systems have now been cloned and sequenced. This essential new information has made the launch of a third edition of Human Blood Groups, now in four colour, particularly timely. This book continues to be an essential reference source for all those who require clinical information on blood groups and antibodies in transfusion medicine and blood banking.

Author: Joseph Bernstein
Publisher: Springer Science & Business Media
ISBN: 0817682260
Category : Mathematics
Languages : en
Pages : 283

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Book Description
This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.

Author: Harekrushna Sahoo
Publisher: Springer Nature
ISBN: 9811645507
Category : Science
Languages : en
Pages : 260

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Book Description
This book illustrates the significance of various optical spectroscopy and microscopy techniques, including absorption spectroscopy, fluorescence spectroscopy, infrared spectroscopy, and Raman spectroscopy for deciphering the nature of biological molecules. The content of this book chiefly focuses on (1) the principle, theory, and instrumentation used in different optical spectroscopy techniques, and (2) the application of these techniques in exploring the nature of different biomolecules (e.g., proteins, nucleic acids, enzymes, and carbohydrates). It emphasizes the structural, conformational and dynamic, and kinetic including the changes in biomolecules under a range of conditions. In closing, the book summarizes recent advances in the field of optical spectroscopic and microscopic techniques.