Title Statements
- Full title :Linear algebraic groups / James E. Humphreys.
Edition Statements
- Publication Date:1998.
- Edition:Corr. 5th print
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:1998.
The Physical Object
- Description:xvi, 253 pages ; : 25 cm.
Edition Identifiers
- ISBN:0387901086, 9780387901084, 3540901086, 9783540901082
- oclc:ocm39339890
- LC Classification:QA179
- Dewey Decimal:512/.55
Table of Contents
Affine and projective varieties -- Varieties -- Dimension -- Morphisms -- Tangent spaces -- Complete varieties -- Basic concepts and examples -- Actions of algebraic groups in varieties -- Lie algebra of an algebraic group -- Differentiation -- Construction of certain representations -- Quotients -- Correspondence between groups and lie algebras -- Semisimple groups -- Jordan-Chevalley decomposition -- Diagonalizable groups -- Nilpotent and solvable groups -- Semisimple elements -- Connected solvable groups -- One dimensional groups -- Fixed point and conjugacy theorems -- Density and connectedness theorems -- Normalizer theorem -- Regular and singular tori -- Action of a maximal torus on G/B -- The unipotent radical -- Root system -- Bruhat decomposition -- Tits systems -- Parabolic subgroups -- Representations -- Isomorphism theorem -- Root systems of Rank 2 -- Fields of definition -- Special cases.
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