Lie Algebras of Finite and Affine Type

Lie Algebras of Finite and Affine Type

Roger Carter
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Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The Appendix provides a summary of the basic properties of each Lie algebra of finite and affine type.
Kategori:
Mathematics
Mathematics - Algebra
Tahun:
2005
Penerbit:
Cambridge University Press
Bahasa:
english
Halaman:
652
ISBN 10:
0521851386
Nama seri:
Cambridge Studies in Advanced Mathematics 96
File:
PDF, 7.53 MB
IPFS:
CID , CID Blake2b
english, 2005
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Istilah kunci

 
algebras
proposition
roots
fundamental
weight
kac
cartan
element
finite
theorem
matrix
suppose
affine
module
moody
dimensional
modules
l̃
consider
weights
define
positive
invariant
dynkin
lemma
map
ñ
ideal
generated
subalgebra
zero
vector
linear
homomorphism
exists
exp
weyl
polynomial
diagram
irreducible
submodule
lies
standard
isomorphism
aji
isomorphic
formula
subspace
corollary
representations
symmetric
recall
vectors
implies
borcherds
shows
defined
generalised
product
h̃

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