Some Generalized Kac Moody Algebras With Known Root Multiplicities
DOWNLOAD
FREE 30 Days
Download Some Generalized Kac Moody Algebras With Known Root Multiplicities PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Some Generalized Kac Moody Algebras With Known Root Multiplicities book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Some Generalized Kac Moody Algebras With Known Root Multiplicities
DOWNLOAD
FREE 30 Days
Author : Peter Niemann
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Some Generalized Kac Moody Algebras With Known Root Multiplicities written by Peter Niemann 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 2002 with Mathematics categories.
Starting from Borcherds' fake monster Lie algebra, this text construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.
Some Generalized Kac Moody Algebras With Known Root Multiplicities
DOWNLOAD
FREE 30 Days
Author : Nanhua XI
language : en
Publisher:
Release Date : 2014-09-11
Some Generalized Kac Moody Algebras With Known Root Multiplicities written by Nanhua XI and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Electronic books categories.
Introduction Generalized Kac-Moody algebras Modular forms Lattices and their Theta-functions The proof of Theorem 1.7 The real simple roots Hyperbolic Lie algebras Appendix A Appendix B Bibliography Notation
Kac Moody Lie Algebras And Related Topics
DOWNLOAD
FREE 30 Days
Author : Neelacanta Sthanumoorthy
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Kac Moody Lie Algebras And Related Topics written by Neelacanta Sthanumoorthy 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 2004 with Mathematics categories.
This volume is the proceedings of the Ramanujan International Symposium on Kac-Moody Lie algebras and their applications. The symposium provided researchers in mathematics and physics with the opportunity to discuss new developments in this rapidly-growing area of research. The book contains several excellent articles with new and significant results. It is suitable for graduate students and researchers working in Kac-Moody Lie algebras, their applications, and related areas of research.
Introduction To Kac Moody Algebras
DOWNLOAD
FREE 30 Days
Author : Zhe-xian Wan
language : en
Publisher: World Scientific
Release Date : 1991-03-29
Introduction To Kac Moody Algebras written by Zhe-xian Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-29 with Mathematics categories.
This book is an introduction to a rapidly growing subject of modern mathematics, the Kac-Moody algebra, which was introduced by V Kac and R Moody simultanously and independently in 1968.
Recent Advances In Representation Theory Quantum Groups Algebraic Geometry And Related Topics
DOWNLOAD
FREE 30 Days
Author : Pramod M. Achar
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-27
Recent Advances In Representation Theory Quantum Groups Algebraic Geometry And Related Topics written by Pramod M. Achar and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-27 with Mathematics categories.
This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
Automorphic Forms And Lie Superalgebras
DOWNLOAD
FREE 30 Days
Author : Urmie Ray
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-06
Automorphic Forms And Lie Superalgebras written by Urmie Ray 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 2007-03-06 with Mathematics categories.
This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras. The book examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. It also includes all necessary background information.
Dualities On Generalized Koszul Algebras
DOWNLOAD
FREE 30 Days
Author : Edward L. Green
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Dualities On Generalized Koszul Algebras written by Edward L. Green 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 2002 with Mathematics categories.
Koszul rings are graded rings which have played an important role in algebraic topology, noncommutative algebraic geometry and in the theory of quantum groups. One aspect of the theory is to compare the module theory for a Koszul ring and its Koszul dual. There are dualities between subcategories of graded modules; the Koszul modules.
Kac Algebras Arising From Composition Of Subfactors General Theory And Classification
DOWNLOAD
FREE 30 Days
Author : Masaki Izumi
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Kac Algebras Arising From Composition Of Subfactors General Theory And Classification written by Masaki Izumi 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 2002 with Mathematics categories.
This title deals with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying (i) $G=N \rtimes H$ is a semi-direct product, (ii) the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and (iii) the restrictions $\alpha \! \! \mid_N, \alpha \! \! \mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L} DEGREES{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L} DEGREES{\alpha\mid_N}$) gives an irreducible inclusion of factors with Jones index $\# G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dim
Infinite Dimensional Lie Algebras
DOWNLOAD
FREE 30 Days
Author : Victor G. Kac
language : en
Publisher: Cambridge University Press
Release Date : 1990
Infinite Dimensional Lie Algebras written by Victor G. Kac 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 1990 with Mathematics categories.
The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.
Lie Algebras Graded By The Root Systems Bc R R Geq 2
DOWNLOAD
FREE 30 Days
Author : Bruce Normansell Allison
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Lie Algebras Graded By The Root Systems Bc R R Geq 2 written by Bruce Normansell Allison 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 2002 with Mathematics categories.
Introduction The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra, $r\ge 3$ (excluding type $\mathrm{D}_3)$ Models for $\mathrm{BC}_r$-graded Lie algebras, $r\ge 3$ (excluding type $\mathrm{D}_3)$ The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra with grading subalgebra of type $\mathrm{B}_2$, $\mathrm{C}_2$, $\mathrm{D}_2$, or $\mathrm{D}_3$ Central extensions, derivations and invariant forms Models of $\mathrm{BC}_r$-graded Lie algebras with grading subalgebra of type $\mathrm{B}_2$, $\mathrm{C}_2$, $\mathrm{D}_2$, or $\mathrm{D}_3$ Appendix: Peirce decompositions in structurable algebras References.