×

Linear algebraic groups. Reprint of the 1998 2nd ed. (English) Zbl 1202.20048

Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-4839-8/pbk). xv, 334 p. (2009).
This is an entirely uncorrected reprint of the second edition reviewed in Zbl 0927.20024 [Progress in Mathematics 9. Boston: Birkhäuser (1998)]. The book is still an ideal entry point for learning about linear algebraic groups.

MSC:

20G15 Linear algebraic groups over arbitrary fields
14L10 Group varieties
20-02 Research exposition (monographs, survey articles) pertaining to group theory
20Gxx Linear algebraic groups and related topics
14L17 Affine algebraic groups, hyperalgebra constructions
17B45 Lie algebras of linear algebraic groups
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
14L35 Classical groups (algebro-geometric aspects)
17-02 Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras
14Lxx Algebraic groups