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 / [electronic resource] :
edited by Ralph K. Amayo.
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1981.
- VIII, 300 p. online resource.
- Lecture Notes in Mathematics, 848 0075-8434 ; .
- Lecture Notes in Mathematics, 848 .
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.
9783540385493
10.1007/BFb0090552 doi
Mathematics.
Algebra.
Mathematics.
Algebra.
QA150-272
512
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.
9783540385493
10.1007/BFb0090552 doi
Mathematics.
Algebra.
Mathematics.
Algebra.
QA150-272
512