Algebra, Carbondale 1980 : Lie algebras, group theory, and partially ordered algebraic structures : proceedings of the Southern Illinois Algebra Conference, Carbondale, April 18 and 19, 1980
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Bibliographic Information
Algebra, Carbondale 1980 : Lie algebras, group theory, and partially ordered algebraic structures : proceedings of the Southern Illinois Algebra Conference, Carbondale, April 18 and 19, 1980
（Lecture notes in mathematics, 848）
Springer-Verlag, 1981
- : Berlin
- : New York
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Library & Science Information Center, Osaka Prefecture University
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
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Description and Table of Contents
Table of Contents
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.
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