Involutions in Weyl group of type F 4

Jun Hu; Jing Zhang; Yabo Wu

doi:10.1007/s11464-017-0646-z

Involutions in Weyl group of type F ₄

Jun Hu^*, Jing Zhang, Yabo Wu

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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 I_*-transformations. Our main result extends the earlier work on the Weyl groups of classical types (i.e., A_n, B_n, and D_n).

Original language	English
Pages (from-to)	891-906
Number of pages	16
Journal	Frontiers of Mathematics in China
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s11464-017-0646-z
Publication status	Published - 1 Aug 2017

Keywords

Involutions
braid I-transformations
reduced I-expressions

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10.1007/s11464-017-0646-z

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abstract = "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 I*-transformations. Our main result extends the earlier work on the Weyl groups of classical types (i.e., An, Bn, and Dn).",

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AB - 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 I*-transformations. Our main result extends the earlier work on the Weyl groups of classical types (i.e., An, Bn, and Dn).

KW - Involutions

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KW - reduced I-expressions

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Involutions in Weyl group of type F ₄

Abstract

Keywords

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