Lie Groups and Lie Algebras II

Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras
Herausgegeben:Onishchik, A.L.; Vinberg, E.B.;Mitarbeit:Vinberg, E.B.; Feigin, B.L.; Fuchs, D.B.; Gorbatsevich, V.V.; Shvartsman, O.V.

• Broschiertes Buch

Produktbeschreibung

The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman. Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables, arithmetic, geometry, and crystallography. Since the foundation of their general theory in the 50-60s of this century, considerable and in many respects exhaustive results were obtained. This development is reflected in this survey. Both semisimple and general Lie groups are considered. Part II on Cohomologies of Lie Groups and Algebras is written by B.L. Feigin and D. B.Fuchs. It contains different definitions of cohomologies of Lie groups and (both finite-dimensional and some infinite-dimensional) Lie algebras, the main methods of their calculation, and the results of these calculations. The book can be useful as a reference and research guide to graduate students and researchers in different areas of mathematics and theoretical physics.

Produktdetails

• Encyclopaedia of Mathematical Sciences 21
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-08071-5
• Softcover reprint of hardcover 1st ed. 2000
• Seitenzahl: 232
• Erscheinungstermin: 8. Dezember 2010
• Englisch
• Abmessung: 234mm x 156mm x 13mm
• Gewicht: 359g
• ISBN-13: 9783642080715
• ISBN-10: 3642080715
• Artikelnr.: 32078773

Inhaltsangabe

Discrete Subgroups of Lie Groups. E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman.- Cohomologies of Lie Groups and Lie Algebras. B.L. Feigin and D.B. Fuchs.- References.- Subject Index.- Author Index.

Rezensionen

"... As always, a most useful compendium."

Mathematika 2002, Issue 93-94