Involutions in Weyl group of type F4

Let W be the Weyl group of type F4. We explicitly describe a finite 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/,-transformations. Our main result extends the earlier...

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Bibliographic Details
Published in:Frontiers of mathematics in China 2017, Vol.12 (4), p.891-906
Main Authors: HU, Jun, ZHANG, Jing, WU, Yabo
Format: Article
Language:English
Subjects:
braid I -transformations
Involutions
Mathematics
Mathematics and Statistics
reduced I -expressions
Research Article
Weyl群
对合
相互转化
表达式
辫子
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Summary:Let W be the Weyl group of type F4. We explicitly describe a finite 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/,-transformations. Our main result extends the earlier work on the Weyl groups of classical types （i.e., An, Bn, and Dn）.
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-017-0646-z