Calculating Canonical Distinguished Involutions in the Affine Weyl Groups

@article{Chmutova2002CalculatingCD,
  title={Calculating Canonical Distinguished Involutions in the Affine Weyl Groups},
  author={Tanya Chmutova and Viktor Ostrik},
  journal={Experimental Mathematics},
  year={2002},
  volume={11},
  pages={99-117}
}
Lie algebras Distinguished involutions in the affine Weyl groups, defined by G. Lusztig, play an essential role in the Kazhdan-Lusztig combinatorics of these groups. A distinguished involution is called canonical if it is the shortest element in its double coset with respect to the finite Weyl group. Each two-sided cell in the affine Weyl group contains precisely one canonical distinguished involution. We calculate the canonical distinguished involutions in the affine Weyl groups of rank ≤ 7… CONTINUE READING

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