1.

Record Nr.

UNISA996466656403316

Titolo

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 / / edited by Ralph K. Amayo

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1981]

©1981

ISBN

3-540-38549-5

Edizione

[1st ed. 1981.]

Descrizione fisica

1 online resource (VIII, 300 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 848

Disciplina

512

Soggetti

Ordered algebraic structures

Group theory

Lie algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.