Total Positivity in Reductive Groups, II

Total Positivity in Reductive Groups, II
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还原基团的总阳性率,II

DOI:
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发表时间:
2019
影响因子:
0.2
通讯作者:
G. Lusztig
G. Lusztig
中科院分区:
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文献类型:
--
作者:
G. Lusztig

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0.1.全正真实的矩阵的理论(见[P11])是在M.Fekete和G.Polya(1912)的早期贡献以及A.Whitney和C.Loewner(1950)的后期贡献之后,由I.Schoenberg和F. Schumacher和M.Krein独立于20世纪30年代发展起来的。在[L94]中,我通过用任意分裂的半单真实的李群G代替群SLn(R),扩展了这个理论的一部分。本文是[L94]的延续。
0.1. The theory of totally positive real matrices (see [P11]) has been developed in the 1930’s by I.Schoenberg and independently by F.Gantmacher and M.Krein after earlier contributions by M.Fekete and G.Polya (1912) and with later contributions by A.Whitney and C.Loewner (1950’s). In [L94] I extended a part of this theory by replacing the group SLn(R) by an arbitrary split semisimple real Lie group G. This paper is a continuation of [L94].