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Frontiers of Mathematics in China

Front. Math. China    2017, Vol. 12 Issue (4) : 891-906     DOI: 10.1007/s11464-017-0646-z
RESEARCH ARTICLE |
Involutions in Weyl group of type F4
Jun HU(), Jing ZHANG, Yabo WU
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
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Abstract

Let W be the Weyl group of type F4: We explicitly describe a nite set of basic braid I*-transformations and show that any two reduced I*-expressions for a given involution in W can be transformed into each other through a series of basic braid I*-transformations. Our main result extends the earlier work on the Weyl groups of classical types (i.e., An; Bn; and Dn).

Keywords Involutions      reduced I*-expressions      braid I*-transformations     
Corresponding Authors: Jun HU   
Issue Date: 06 July 2017
 Cite this article:   
Jun HU,Jing ZHANG,Yabo WU. Involutions in Weyl group of type F4[J]. Front. Math. China, 2017, 12(4): 891-906.
 URL:  
http://journal.hep.com.cn/fmc/EN/10.1007/s11464-017-0646-z
http://journal.hep.com.cn/fmc/EN/Y2017/V12/I4/891
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Jun HU
Jing ZHANG
Yabo WU
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