PI THEORY AND G-GRADED DIVISION ALGEBRAS

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Speaker(s):
Prof. ELI ALJADEFF (Technion Israel and GTIIT SHantou China)

Time:
4 Aug, 2021, 14:00 PM - 15:00 PM

Venue:
201 Jinqizhigu Building, No.1 Tangling Road, Nanshan District, Shenzhen

Abstract

If G is a finite group and D is a finite dimensional G-graded division algebra over k, then restricting scalars to F, the algebraic closure of k, we obtain a finite dimensional G-graded simple algebra. In this lecture we address the problem in the opposite direction, namely if A is finite dimensional G-graded simple algebra over F (with char(F) = 0), then under which conditions it admits a G-graded division algebra form? (in the sense of descent theory). The main tools come from G-graded PI theory. These allow us to construct the corresponding generic objects. Joint work with Karasik.