Logo

Infinite-dimensional Lie Algebras

Small book cover: Infinite-dimensional Lie Algebras

Infinite-dimensional Lie Algebras
by

Publisher: University of Edinburgh
Number of pages: 55

Description:
Contents: Central extensions; The Virasoro algebra; The Heisenberg algebra; Enveloping algebras; A little infinite-dimensional surprise; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Classification of generalised Cartanmatrices; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras and Kac-Moody Lie algebras; etc.

Home page url

Download or read it online for free here:
Download link
(780KB, PDF)

Similar books

Book cover: An Introduction to Nonassociative AlgebrasAn Introduction to Nonassociative Algebras
by - Project Gutenberg
Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.
(10506 views)
Book cover: Lie AlgebrasLie Algebras
by
The Campbell Baker Hausdorff formula, sl(2) and its representations, classical simple algebras, Engel-Lie-Cartan-Weyl, conjugacy of Cartan subalgebras, simple finite dimensional algebras, cyclic highest weight modules, Serreā€™s theorem, and more.
(14330 views)
Book cover: The Algebra of InvariantsThe Algebra of Invariants
by - Cambridge, University Press
Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. This book provides an English introduction to the symbolical method in the theory of Invariants.
(7673 views)
Book cover: Set Theoretic Approach to Algebraic Structures in MathematicsSet Theoretic Approach to Algebraic Structures in Mathematics
by - Educational Publisher
This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.
(7626 views)