Playlist - Introduction to linear algebraic groups

Ting Xue: Introduction to linear algebraic groups, I

Algebraic groups are fundamental objects in representation theory and number theory. The course will discuss the structure theory of linear algebraic groups over algebraically closed fields. Topics include tori, parabolic subgroups and Borel subgroups, Lie algebras, root data, Weyl group, and classi fication of simple algebraic groups. If time permits, we will briefly discuss relation between compact Lie groups and algebraic groups.

Ting Xue: Introduction to linear algebraic groups, II

Algebraic groups are fundamental objects in representation theory and number theory. The course will discuss the structure theory of linear algebraic groups over algebraically closed fields. Topics include tori, parabolic subgroups and Borel subgroups, Lie algebras, root data, Weyl group, and classi fication of simple algebraic groups. If time permits, we will briefly discuss relation between compact Lie groups and algebraic groups.

Ting Xue: Introduction to linear algebraic groups, III

Algebraic groups are fundamental objects in representation theory and number theory. The course will discuss the structure theory of linear algebraic groups over algebraically closed fields. Topics include tori, parabolic subgroups and Borel subgroups, Lie algebras, root data, Weyl group, and classi fication of simple algebraic groups. If time permits, we will briefly discuss relation between compact Lie groups and algebraic groups.

Ting Xue: Introduction to linear algebraic groups, IV

Algebraic groups are fundamental objects in representation theory and number theory. The course will discuss the structure theory of linear algebraic groups over algebraically closed fields. Topics include tori, parabolic subgroups and Borel subgroups, Lie algebras, root data, Weyl group, and classi fication of simple algebraic groups. If time permits, we will briefly discuss relation between compact Lie groups and algebraic groups.

Ting Xue: Introduction to linear algebraic groups, V

Algebraic groups are fundamental objects in representation theory and number theory. The course will discuss the structure theory of linear algebraic groups over algebraically closed fields. Topics include tori, parabolic subgroups and Borel subgroups, Lie algebras, root data, Weyl group, and classi fication of simple algebraic groups. If time permits, we will briefly discuss relation between compact Lie groups and algebraic groups.