Annihilating Fields Of Standard Modules Of Mathfrak Sl 2 Mathbb C Sim And Combinatorial Identities
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Annihilating Fields Of Standard Modules Of Mathfrak Sl 2 Mathbb C Sim And Combinatorial Identities
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Author : Arne Meurman
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Annihilating Fields Of Standard Modules Of Mathfrak Sl 2 Mathbb C Sim And Combinatorial Identities written by Arne Meurman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\frak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\frak g}$-modules are modules for this vertex operator algebra. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\frak g}$-module--the set of relations that defines standard modules. In the case when $\tilde{\frak g}$ is of type $A{(1)} 1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.
Polynomial Identities In Algebras
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Author : Onofrio Mario Di Vincenzo
language : en
Publisher: Springer Nature
Release Date : 2021-03-22
Polynomial Identities In Algebras written by Onofrio Mario Di Vincenzo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-22 with Mathematics categories.
This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.
Black Holes In Higher Dimensions
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Author : Gary T. Horowitz
language : en
Publisher: Cambridge University Press
Release Date : 2012-04-19
Black Holes In Higher Dimensions written by Gary T. Horowitz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-19 with Science categories.
The first book devoted to black holes in more than four dimensions, for graduate students and researchers.
Bms Particles In Three Dimensions
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Author : Blagoje Oblak
language : en
Publisher: Springer
Release Date : 2017-08-01
Bms Particles In Three Dimensions written by Blagoje Oblak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-01 with Science categories.
This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions. It focuses on presenting all the background material in a pedagogical and self-contained manner to enable readers to fully appreciate the original results that have been obtained while learning a number of fundamental concepts in the field along the way. This makes it a highly rewarding read and a perfect starting point for anybody with a serious interest in the four-dimensional problem.
Vertex Operator Algebras And The Monster
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Author : Igor Frenkel
language : en
Publisher: Academic Press
Release Date : 1989-05-01
Vertex Operator Algebras And The Monster written by Igor Frenkel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Mathematics categories.
This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
From Fields To Strings
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Author : Misha Shifman
language : en
Publisher: World Scientific
Release Date : 2005
From Fields To Strings written by Misha Shifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Condensed matter categories.
This volume is a collection of dedicated reviews covering all aspects of theoretical high energy physics and some aspects of solid state physics. Some of the papers are broad reviews of topics that span the entire field while others are surveys of authors' personal achievements. This is the most comprehensive review collection reflecting state of the art at the end of 2004. An important and unique aspect is a special effort the authors have invested in making the presentation pedagogical
Algebraic Geometry
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Author : Ulrich Görtz
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-06
Algebraic Geometry written by Ulrich Görtz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-06 with Mathematics categories.
This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
Representations Of The Infinite Symmetric Group
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Author : Alexei Borodin
language : en
Publisher: Cambridge University Press
Release Date : 2017
Representations Of The Infinite Symmetric Group written by Alexei Borodin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Linear And Multilinear Algebra
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Author : Ralph Abraham
language : en
Publisher:
Release Date : 1966
Linear And Multilinear Algebra written by Ralph Abraham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Algebras, Linear categories.
Sasakian Geometry
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Author : Charles Boyer
language : en
Publisher:
Release Date : 2008-01-24
Sasakian Geometry written by Charles Boyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-24 with Mathematics categories.
This book offers an extensive modern treatment of Sasakian geometry, which is of importance in many different fields in geometry and physics.