Abstract Induced Representations of ReductiveGroups with Frobenius Maps
发布人: 曹思圆   发布时间: 2018-04-23   浏览次数: 93

报告人:陈晓煜 博士 (宁波大学)
时间:  4月26日(周四)下午3:00-4:00
地点:  数学楼126

报告摘要:  (Joint  work  with  Junbin  Dong)
The classification of all (abstract) irreducible representations of an reductive group  G is a challenge problem and extremely difficult. In this talk, we will interested in the irreducible modules occurs in the abstract induced modules from an one dimensional modules of the Borel subgroup B. I will talk about my following recent work: Let k be a field and  be a reductive group over  . We show that the abstract induced module   from an one dimensional representation   of   has a composition series if char k char . In the case   and   is a rational character, we give the necessary and sufficient condition for the existence of the composition series of  . We determine all the composition factors whenever the composition series exist. The decomposition of such induced modules gives a large class of abstract infinite dimensional irreducible representations of G.
the blind deconvolution is used to demonstrate the efficiency and effectiveness of Riemannian optimization.