Abstract
Let W be the Weyl group of type F 4: 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 ).
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11525102, 11471315).
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Hu, J., Zhang, J. & Wu, Y. Involutions in Weyl group of type F 4 . Front. Math. China 12, 891–906 (2017). https://doi.org/10.1007/s11464-017-0646-z
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DOI: https://doi.org/10.1007/s11464-017-0646-z