nLab Nathan Jacobson

Nathan Jacobson (1910-1999) was an American algebraist. Jacobson radicals and Jacobson's lemma are named after him.

• Wikipedia entry

• MathGenealogy page

• MacTutor biography

Selected writing

On Lie algebras and proving what came to be known as Jacobson's lemma:

• Nathan Jacobson: Rational methods in the theory of Lie algebras, Ann. of Math. 36 (1935) 875-881 [doi:10.2307/1968593, jstor:1968593]

Proving what came to be called the Jacobson-Morozov theorem:

• Nathan Jacobson: Completely reducible Lie algebras of linear transformations, Proc. Amer. Math. Soc. 2 (1951) 105-113 [doi:10.1090/S0002-9939-1951-0049882-5]

On Lie algebras:

• Nathan Jacobson: Lie Algebras, Dover Books (1979) [ISBN:9780486638324]

On Lie triple systems:

• Nathan Jacobson: Lie and Jordan triple systems, American Journal of Mathematics 71 (1949) 149–170 [jstor:2372102] also in: Nathan Jacobson, Collected Mathematical Papers, Contemporary Mathematicians. Birkhäuser Boston (1989) [doi:10.1007/978-1-4612-3694-8_2rbrack;

• Nathan Jacobson: General representation theory of Jordan algebras, Trans. Amer. Math. Soc. 70 (1951) 509–530 [doi:10.1007/978-1-4612-3694-8_9, doi:10.2307/1990612, jstor:1990612]

On Jordan algebras:

• Nathan Jacobson, Structure and Representations of Jordan Algebras, Colloquium Publication 39, American Mathematical Society (1968) [ISBN:978-0-8218-3179-3, pdf]

category: people