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TitleAlgebra Carbondale 1980 [electronic resource] : 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
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1981
Connect tohttp://dx.doi.org/10.1007/BFb0090552
Descript VIII, 300 p. online resource

CONTENT

A โ{128}{156}newโ{128}{157} 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 setsโ{128}{148}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


Mathematics Algebra Mathematics Algebra



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