Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 4: 891 - 906

DOI: https://doi.org/10.1007/s11464-017-0646-z

RESEARCH ARTICLE

Involutions in Weyl group of type F4

  • Jun HU ,
  • Jing ZHANG ,
  • Yabo WU
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  • School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Received date: 28 Sep 2016

Accepted date: 17 Apr 2017

Published date: 06 Jul 2017

Copyright

2017 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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).

Key words： Involutions; reduced I*-expressions; braid I*-transformations

Cite this article

Jun HU , Jing ZHANG , Yabo WU . Involutions in Weyl group of type F4[J]. Frontiers of Mathematics in China, 2017 , 12(4) : 891 -906 . DOI: 10.1007/s11464-017-0646-z

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