《曹锡华代数论坛》

报 告 人：张光连副教授（上海交通大学）
时间地点：十一月六日（星期五）上午10点-12点，
地点另行通知
报告题目:
（1） Canonical bases for the quantum extended Kac-Moody algebras
（2） Contravariant form for the classical Lie superalgebras.
摘 要：
1. Canonical bases for the quantum extended Kac-Moody algebras

Abstract: In this talk, the singular Ringel-Hall algebras are
defined. It is shown that the singular Ringel-Hall algebra is isomorphic to the positive part of the quantum extended Kac-Moody algebra. A new class of perverse sheaves is shown to have purity property. The canonical bases of the positive part of the quantum extended Kac-Moody algebras are constructed. As an application, the existence of Hall polynomials for the tame quiver algebras is proved.

2.Contravariant form for the classical lie superalgebras.

Abstract: In this talk, we firstly recall J.Jantzen's work on the contravariant form for lie algebras . We develop a new methode to solve the contravariant form of parabolic for classical lie superalgebras. Finally, we give the contravariant form of parabolic for the classical lie superalgebras.