报告时间：2021年5月20日, 10:00-11:00

报告地点：精正楼2楼学术报告厅  

报告人：付强教授（同济大学）

报告摘要：Let e UZ(bgln) be the Garland integral form of U(bgln) introduced by Garland, where U(bgln) is the universal enveloping algebra of bgln. Using Ringel-Hall algebras, one can naturally construct an integral form, denoted by UZ(bgln), of U(bgln). We prove that e UZ(bgln) coincides with UZ(bgln). Let k be a commutative ring with unity. Assume p = chark > 0. We call Uk (bgln) := UZ(bgln)  k the hyperalgebra of bgln. For h > 1, we use Ringel{Hall algebras to construct a certain subalgebra, denoted by uM(n)h, of Uk (bgln). The algebra uM(n)h is the a_ne analogue of the restricted enveloping algebra of gln over Fp. We will give a realization of uM(n)h for each h > 1. Using uM(n)h, we construct a certain subalgebra, denoted by uM(n; r)h, of a_ne Schur algebras over k . The algebra uM(n; r)h is the a_ne analogue of little Schur algebras.

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邀请人：白占强, 董超平