吴文俊数学重点实验室代数学系列讲座之七十三 【刘公祥和黄华林】

一、报告题目：Quasi-Frobenius-Lusztig kernels

报告人：刘公祥 （南京大学）

报告时间：2015年5月27日（星期三）  下午2:40--3:40 

报告地点：东区管理科研楼1518

摘要：

TBA

二、报告题目： $\Z_2^n$-graded quasialgebras and the Hurwitz problem on compositions of quadratic forms

报告人：黄华林 （山东大学）

报告时间：2015年5月27日（星期三）  下午4:00--5:00 

报告地点：东区管理科研楼1518

摘要：

We introduce a series of $\Z_2^n$-graded quasialgebras $\bbP_n(m)$ which generalize Clifford algebras, higher octonions, and higher Cayley algebras. The constructed series of algebras are applied to contribute more solutions to the Hurwitz problem on compositions of quadratic forms. In particular, we provide explicit expressions of the well-known Hurwitz-Radon square identities in a uniform way, recover the Yuzvinsky-Lam-Smith formulas and confirm the third family of admissible triples proposed by Yuzvinsky in 1985, and improve the two infinite families of solutions obtained recently by Lenzhen, Morier-Genoud and Ovsienko.

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