George B. Seligman
Publisher: Springer; 1988 edition (March 9, 1988)
Format: PDF / Kindle / ePub
Size: 8.7 MB
Downloadable formats: PDF
This booklet bargains with significant easy Lie algebras over arbitrary fields of attribute 0. It goals to offer structures of the algebras and their finite-dimensional modules in phrases which are rational with admire to the given floor box. All isotropic algebras with non-reduced relative root platforms are taken care of, in addition to classical anisotropic algebras. The latter are taken care of through what looks a unique gadget, specifically by means of learning convinced modules for isotropic classical algebras during which they're embedded. during this improvement, symmetric powers of principal easy associative algebras, besides generalized even Clifford algebras of involutorial algebras, play vital roles. huge awareness is given to unprecedented algebras. The speed is that of a slightly expansive learn monograph. The reader who has to hand a regular introductory textual content on Lie algebras, similar to Jacobson or Humphreys, might be able to comprehend the consequences. extra technical issues come up in a few of the specific arguments. The booklet is meant for researchers and scholars of algebraic Lie idea, in addition to for different researchers who're looking particular realizations of algebras or modules. it could actually be extra important as a source to be dipped into, than as a textual content to be labored instantly via.