Lie Algebras of Finite and Affine Type (Cambridge Studies in Advanced Mathematics)
Publisher: Cambridge University Press
Published: December 5, 2005
Language: eng
Format: Hardcover
Number of pages: 650
ISBN-13: 9780521851381
Subjects: Science/Mathematics; Mathematics; Algebra - General; Finite Mathematics; Mathematics / Algebra / General
First sentence: A Lie algebra is a vector space L over a field k on which a multiplication L x L L (x, y) [xy] is defined satisfying the following axioms: (i) (x, y) [xy] is linear in x and in y; (ii) [xx] = 0 for all x L; (iii) [[xy]z] + [[yz]x] + [[zx]y] = 0 for all x, y, z L.