Some Generalized Kac-Moody Algebras with Known Root Multiplicities

Some Generalized Kac-Moody Algebras with Known Root Multiplicities
Author :
Publisher : American Mathematical Soc.
Total Pages : 137
Release :
ISBN-10 : 9780821828885
ISBN-13 : 0821828886
Rating : 4/5 (886 Downloads)

Book Synopsis Some Generalized Kac-Moody Algebras with Known Root Multiplicities by : Peter Niemann

Download or read book Some Generalized Kac-Moody Algebras with Known Root Multiplicities written by Peter Niemann and published by American Mathematical Soc.. This book was released on 2002 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

Some Generalized Kac-Moody Algebras with Known Root Multiplicities
Language: en
Pages: 137
Authors: Peter Niemann
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

GET EBOOK

Starting from Borcherds' fake monster Lie algebra, this text construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems
Some Generalized Kac-Moody Algebras with Known Root Multiplicities
Language: en
Pages: 119
Authors: Nanhua XI
Categories: Electronic books
Type: BOOK - Published: 2014-09-11 - Publisher:

GET EBOOK

Introduction Generalized Kac-Moody algebras Modular forms Lattices and their Theta-functions The proof of Theorem 1.7 The real simple roots Hyperbolic Lie algeb
Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
Language: en
Pages: 296
Authors: Pramod M. Achar
Categories: Mathematics
Type: BOOK - Published: 2014-08-27 - Publisher: American Mathematical Society

GET EBOOK

This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutati
Automorphic Forms and Lie Superalgebras
Language: en
Pages: 293
Authors: Urmie Ray
Categories: Mathematics
Type: BOOK - Published: 2007-03-06 - Publisher: Springer Science & Business Media

GET EBOOK

This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in
Dualities on Generalized Koszul Algebras
Language: en
Pages: 90
Authors: Edward L. Green
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

GET EBOOK

Koszul rings are graded rings which have played an important role in algebraic topology, noncommutative algebraic geometry and in the theory of quantum groups.