๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Vertex Algebras, Lie Algebras, and Superstrings

โœ Scribed by Nils R Scheithauer


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
379 KB
Volume
200
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis


We construct Lie algebras from vertex superalgebras and study their structure. They are sometimes generalized KacแސMoody algebras. In some special cases we can calculate the multiplicities of the roots.


๐Ÿ“œ SIMILAR VOLUMES


Lie-Admissible Algebras and Kacโ€“Moody Al
โœ Kyeonghoon Jeong; Seok-Jin Kang; Hyeonmi Lee ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

In this paper, we determine all third power-associative Lie-admissible algebras whose commutator algebras are KacแސMoody algebras.

On Lie-Admissible Algebras Whose Commuta
โœ K.I. Beidar; M.A. Chebotar ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta

Quasiclassical Lie Algebras
โœ A.A Baranov; A.E Zalesskii ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

In this paper we study finite dimensional non-semisimple Lie algebras that can be obtained as Lie algebras of skew-symmetric elements of associative algebras with involution. We call such algebras quasiclassical and characterize them in terms of existence of so-called '')-plain'' representations. We

Simple Multilinear Algebras, Rectangular
โœ X.R. Shen; J.D.H. Smith ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 375 KB

The paper investigates simple multilinear algebras, known as comtrans algebras, that are determined by Lie algebras and by pairs of matrices. The two classes of algebras obtained in this way separate, except for the vector triple product algebra. \(\quad 1993\) Academic Press, Inc.