Lie Algebras With Triangular Decompositions

Informationen zum Autor Robert Vaughan Moody, OC FRSC is a Canadian mathematician. He is the co-discover of Kac-Moody algebra, a Lie algebra, usually infinite-dimensional, that can be defined through a generalized root system. Arturo Pianzola is the author of Lie Algebras with Triangular Decompositions, published by Wiley. Klappentext Imparts a self-contained development of the algebraic theory of Kac-Moody algebras, their representations and close relatives--the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac-Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite-dimensional theory, Weyl groups and conjugacy theorems. Zusammenfassung Imparts a self--contained development of the algebraic theory of Kac--Moody algebras! their representations and close relatives----the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac--Moody theory not specific to the affine case. Inhaltsverzeichnis Lie Algebras. Lie Algebras Admitting Triangular Decompositions. Lattices and Root Systems. Contragredient Lie Algebras. The Weyl Group and Its Geometry. Category O for Kac-Moody Algebras. Conjugacy Theorems. Appendix. Bibliography. Index.

Produktdetails

• Autoren: Moody, R. V. Moody, R.v. Pianzola Moody, Robert V Moody, Robert V. Moody, Robert V. Pianzola Moody, Rv Moody, Terry Ed. Moody, MOODY R V PIANZOLA ARTURO, Pianzola, Arturo Pianzola
• Verlag: Wiley, John and Sons Ltd
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 22.05.1995
• EAN: 9780471633044
• ISBN: 978-0-471-63304-4
• Seiten: 712
• Serien: Canadian Mathematical Society; Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra; MATHEMATICS / Group Theory, Groups & group theory, Groups and group theory