Algebra. Carbondale 1980.

Lie Algebras, Group Theory and Partially Ordered Algebraic Structures. Proceedings of the Southern Illinois Algebra Conference, Carbondale, April 18-19, 1980
Herausgegeben:Amayo, Ralph K.

• Broschiertes Buch

Produktbeschreibung

A ¿new¿ proof of kaplansky's theorem on simple Lie algebras of rank one.- The classification problem for simple lie algebras of characteristic p.- Representations of certain classical Lie algebras.- A combinatorial theory of symmetry and applications to Lie algebras.- Closures of conjugacy classes in classical real linear Lie groups.- Explicit expressions for the generators of the center of the enveloping algebra of real lie algebras and for the algebra of bivariant operators on the group.- Simple lie groups and the legendre symbol.- Polynomial representations of GLn.- An application of the serre conjecture to semisimple algebraic groups.- The blocks of the general linear group GL(n,q).- A conjugacy theorem for carter subgroups in groups with min-p for all p.- Transversals, S-rings and centraliser rings of groups.- Recent results on finite complete groups.- K-radical classes of lattice ordered groups.- The distinguished completion of a lattice ordered group.- Elementary types of automorphisms of linearly ordered sets¿A survey.- Polycyclic right-ordered groups.- Generalized semigroup rings.- The natural partial order on semirings.- Some complete antinormal subgroups of infinite symmetric groups.- Special elements in semiprime rings.- The Hahn embedding theorem: Analysis, refinements, proof.

Produktdetails

• Lecture Notes in Mathematics 848
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10573-2
• 1981
• Seitenzahl: 308
• Erscheinungstermin: 1. März 1981
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 492g
• ISBN-13: 9783540105732
• ISBN-10: 3540105735
• Artikelnr.: 23573631

Inhaltsangabe

A "new" proof of kaplansky's theorem on simple Lie algebras of rank one.- The classification problem for simple lie algebras of characteristic p.- Representations of certain classical Lie algebras.- A combinatorial theory of symmetry and applications to Lie algebras.- Closures of conjugacy classes in classical real linear Lie groups.- Explicit expressions for the generators of the center of the enveloping algebra of real lie algebras and for the algebra of bivariant operators on the group.- Simple lie groups and the legendre symbol.- Polynomial representations of GLn.- An application of the serre conjecture to semisimple algebraic groups.- The blocks of the general linear group GL(n,q).- A conjugacy theorem for carter subgroups in groups with min-p for all p.- Transversals, S-rings and centraliser rings of groups.- Recent results on finite complete groups.- K-radical classes of lattice ordered groups.- The distinguished completion of a lattice ordered group.- Elementary types of automorphisms of linearly ordered sets-A survey.- Polycyclic right-ordered groups.- Generalized semigroup rings.- The natural partial order on semirings.- Some complete antinormal subgroups of infinite symmetric groups.- Special elements in semiprime rings.- The Hahn embedding theorem: Analysis, refinements, proof.