Calculating Canonical Distinguished Involutions in the Affine Weyl Groups

  title={Calculating Canonical Distinguished Involutions in the Affine Weyl Groups},
  author={Tanya Chmutova and Viktor Ostrik},
  journal={Experimental Mathematics},
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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Rings of regular functions on nilpotent orbits and their covers.

  • W. McGovern
  • Invent. Math. 97:
  • 1989
Highly Influential
4 Excerpts

Classes unipotentes et sous-groupes de Borel

  • N. Spaltenstein
  • Lecture Notes in Math. 946,
  • 1982
Highly Influential
4 Excerpts

On the singularities of nilpotent orbits.

  • V. Hinich
  • Israel J. Math. 73:
  • 1991
Highly Influential
2 Excerpts

Cells in affine Weyl groups IV.

  • G. Lusztig
  • J. Fac. Sci. Univ. Tokyo Sect. IA Math
  • 1989
Highly Influential
3 Excerpts

Nilpotent orbits in semisimple Lie algebras

  • Collingwood, McGovern 93 D. Collingwood, W. McGovern
  • 1993

Canonical left cells in affine Weyl groups , Adv

  • N. Xi G. Lusztig
  • 1989

Canonical left cells in affine Weyl groups.

  • G. Lusztig, N. Xi
  • Adv. in Math
  • 1988

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