Infinite-dimensional lie algebras
Collection : Translations of mathematical monographs ; . Vol. 195. Mention d'édition :1st ed. Publié par : American Mathematical Society ([S.l.]) Détails physiques : 304 p. 22 cm. ISBN :0821826549 (paperback); 9780821826546 (paperback).Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
---|---|---|---|---|---|---|
Livre | La bibliothèque des Sciences Exactes et Naturelles | 512.55 WAK (Parcourir l'étagère) | Disponible | 0000000018070 |
This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${widehat {mathfrak {sl}}}(2, {mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic.
Il n'y a pas de commentaire pour ce document.