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- catalog abstract "These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.".
- catalog alternative "Algèbres de Lie semi-simples complexes. English".
- catalog contributor b1937691.
- catalog contributor b1937692.
- catalog created "c1987.".
- catalog date "1987".
- catalog date "c1987.".
- catalog dateCopyrighted "c1987.".
- catalog description "Bibliography: p. 71-72.".
- catalog description "Contents: Nilpotent Lie Algebras and Solvable Lie Algebras -- Semisimple Lie Algebras (General Theorems) -- Cartan Subalgebras -- The Algebra sl2 and Its Representations -- Root Systems -- Structure of Semisimple Lie Algebras -- Linear Representations of Semisimple Lie Algebras -- Complex Groups and Compact groups -- Bibliography -- Index.".
- catalog description "These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.".
- catalog extent "ix, 74 p. ;".
- catalog hasFormat "Complex semisimple Lie algebras.".
- catalog identifier "0387965696 :".
- catalog isFormatOf "Complex semisimple Lie algebras.".
- catalog issued "1987".
- catalog issued "c1987.".
- catalog language "eng".
- catalog language "engfre".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Complex semisimple Lie algebras.".
- catalog subject "512/.55 19".
- catalog subject "Lie algebras.".
- catalog subject "Mathematics.".
- catalog subject "QA251 .S4713 1987".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Contents: Nilpotent Lie Algebras and Solvable Lie Algebras -- Semisimple Lie Algebras (General Theorems) -- Cartan Subalgebras -- The Algebra sl2 and Its Representations -- Root Systems -- Structure of Semisimple Lie Algebras -- Linear Representations of Semisimple Lie Algebras -- Complex Groups and Compact groups -- Bibliography -- Index.".
- catalog title "Algèbres de Lie semi-simples complexes. English".
- catalog title "Complex semisimple Lie algebras / Jean-Pierre Serre ; translated from the French by G.A. Jones.".
- catalog type "text".