Perspectives In Representation Theory
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| Author | : Pavel Etingof |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 384 |
| Release | : 2014-03-11 |
| Genre | : Mathematics |
| ISBN | : 0821891707 |
This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 357 |
| Release | : 1996-09-27 |
| Genre | : Mathematics |
| ISBN | : 0080526950 |
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field
| Author | : Filippo Callegaro |
| Publisher | : Springer |
| Total Pages | : 465 |
| Release | : 2017-12-07 |
| Genre | : Mathematics |
| ISBN | : 3319589717 |
Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.
| Author | : Anton Alekseev |
| Publisher | : Springer Nature |
| Total Pages | : 652 |
| Release | : 2022-02-05 |
| Genre | : Mathematics |
| ISBN | : 3030781488 |
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.
| Author | : Steve Y. Oudot |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 229 |
| Release | : 2017-05-17 |
| Genre | : Mathematics |
| ISBN | : 1470434431 |
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.
| Author | : Peggy Van Meter |
| Publisher | : Routledge |
| Total Pages | : 696 |
| Release | : 2020-03-10 |
| Genre | : Education |
| ISBN | : 0429813651 |
In and out of formal schooling, online and off, today’s learners must consume and integrate a level of information that is exponentially larger and delivered through a wider range of formats and viewpoints than ever before. The Handbook of Learning from Multiple Representations and Perspectives provides a path for understanding the cognitive, motivational, and socioemotional processes and skills necessary for learners across educational contexts to make sense of and use information sourced from varying inputs. Uniting research and theory from education, psychology, literacy, library sciences, media and technology, and more, this forward-thinking volume explores the common concerns, shared challenges, and thematic patterns in our capacity to make meaning in an information-rich society. Chapter 16 of this book is freely available as a downloadable Open Access PDF under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license available at http://www.taylorfrancis.com/books/e/9780429443961.
| Author | : Pavel I. Etingof |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 215 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821804960 |
This text is devoted to mathematical structures arising in conformal field theory and the q-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course and is intended for graduate students and research mathematicians interested in mathematical physics.
| Author | : William Fulton |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 616 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : 9780387974958 |
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.
| Author | : James Nguyen |
| Publisher | : Cambridge University Press |
| Total Pages | : 154 |
| Release | : 2022-09-01 |
| Genre | : Science |
| ISBN | : 1009007343 |
This Element presents a philosophical exploration of the notion of scientific representation. It does so by focussing on an important class of scientific representations, namely scientific models. Models are important in the scientific process because scientists can study a model to discover features of reality. But what does it mean for something to represent something else? This is the question discussed in this Element. The authors begin by disentangling different aspects of the problem of representation and then discuss the dominant accounts in the philosophical literature: the resemblance view and inferentialism. They find them both wanting and submit that their own preferred option, the so-called DEKI account, not only eschews the problems that beset these conceptions, but further provides a comprehensive answer to the question of how scientific representation works. This title is also available as Open Access on Cambridge Core.
| Author | : F. Mezzadri |
| Publisher | : Cambridge University Press |
| Total Pages | : 530 |
| Release | : 2005-06-21 |
| Genre | : Mathematics |
| ISBN | : 0521620589 |
Provides a grounding in random matrix techniques applied to analytic number theory.
