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作者 Milne, J. S., 1942- author
書名 Algebraic groups : the theory of group schemes of finite type over a field / J.S. Milne, University of Michigan, Ann Arbor
出版項 Cambridge, United Kingdom ; New York, New York: Cambridge University Press, [2017]
國際標準書號 9781107167483
1107167485
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA564 M525 2017    在架上    30340200555583
說明 xvi, 644 pages: illustrations; 24cm
系列 Cambridge studies in advanced mathematics ; 170
Cambridge studies in advanced mathematics ; 170
附註 Includes references (pages 627-636) and index
Definitions and basic properties -- Examples and basic constructions -- Affine algebraic groups and Hopf algebras -- Linear representations of algebraic groups -- Group theory: the isomorphism theorems -- Subnormal series; solvable and nilpotent algebraic groups -- Algebraic groups acting on schemes -- The structure of general algebraic groups -- The structure of general algebraic groups -- Tannaka duality; Jordan decompositions -- The Lie algebra of an algebraic group -- Finite group schemes -- Groups of multiplicative type; linearly reductive groups -- Tori acting on schemes -- Unipotent algebraic groups -- Cohomology and extensions -- The structure of solvable algebraic groups -- Borel subgroups and applications -- The geometry of algebraic groups -- Semisimple and reductive groups -- Algebraic groups of semisimple rank one -- Split reductive groups -- Representations of reductive groups -- The isogeny and existence theorems -- Construction of the semisimple groups -- Additional topics -- Appendix A: Review of algebraic geometry -- Appendix B: Existence of quotients of algebraic groups -- Appendix C: Root data
主題 Geometry, Algebraic
Group theory
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