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Projective characters of the rotation subgroup of the weyl group of typeF4

 

作者: D. Theo,   T.P. McDonough,  

 

期刊: Communications in Algebra  （Taylor Available online 1993）
卷期: Volume 21, issue 1  

页码: 1-11

 

ISSN:0092-7872

 

年代: 1993

 

DOI:10.1080/00927879208824546

 

出版商: Marcel Dekker, Inc.

 

关键词: Lagrange distributions;Random variate generation;Branching processes;Probability inequalities;Rejection method;Borel-Tanner distribution;Haight's distribution;Expected time analysis

 

数据来源: Taylor

 

摘要:

In an earlier paper [l0], the first author determined the projective characters of rotation subgroups W+(Φ) of the exceptional Weyl groups W(Φ), Φ=El(l=6,7,8). For the case Φ=F4, only those characters of W+(F4) whose factor set α corresponds to the basic spin representations determined in [9] were obtained. In the present paper we obtain the irreducible characters of W+(F4)corresponding to the remaining classes of factor sets, thereby completing the work in [lo]. We also give explicit constructions for some of the projective representations.

 

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