Người báo cáo: Nguyễn Bích Vân
Thời gian: 90h00, Thứ 4, ngày 13 tháng 4, năm 2016
Địa điểm: Phòng 6, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy Hà Nội
Tóm tắt: We discuss construction of irreducible polynomials representations of the general linear group $GL_m (mathbb{C}) $. These representations are parametrized by Young diagrams $lambda$ with at most $m$ rows and have bases corresponding to Young tableaux with entries from ${1,…,m}$. They can also be constructed from representations of symmetric groups. These representations give the full list of irreducible representations of $GL_m(C)$. Some open problems on representations of general linear groups over fields of positive characteristic are also briefly presented.
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