Logo

Lie Algebras by Shlomo Sternberg

Large book cover: Lie Algebras

Lie Algebras
by


Number of pages: 198

Description:
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, Serre’s theorem, Clifford algebras and spin representations, Kostant Dirac operator, the center of U(g).

Download or read it online for free here:
Download link
(0.9MB, PDF)

Similar books

Book cover: An introduction to Algebra and TopologyAn introduction to Algebra and Topology
by - University of Luxemburg
These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).
(13482 views)
Book cover: Lectures on Quadratic FormsLectures on Quadratic Forms
by - Tata Institute of Fundamental Research
From the table of contents: Vector groups and linear inequalities (Vector groups, Lattices, Characters, Diophantine approximations); Reduction of positive quadratic forms; Indefinite quadratic forms; Analytic theory of Indefinite quadratic forms.
(13677 views)
Book cover: The OctonionsThe Octonions
by - University of California
The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.
(22264 views)
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.
(16895 views)