Euler characteristic of analogues of a Deligne–Lusztig variety for GLn

Dongkwan Kim

Research output: Contribution to journalArticlepeer-review


We give a combinatorial formula to calculate the Euler characteristic of an analogue of a Deligne–Lusztig variety, denoted Yw,g, which is attached to an element w in the Weyl group of GLn and g∈GLn. The main theorem of this paper states that the Euler characteristic of Yw,g only depends on the unipotent part of the Jordan decomposition of g and the conjugacy class of w. It generalizes the formula of the Euler characteristic of Springer fibers for type A.

Original languageEnglish (US)
Pages (from-to)321-338
Number of pages18
JournalJournal of Algebra
StatePublished - Jul 1 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.


  • Deligne–Lusztig character
  • Deligne–Lusztig variety
  • Euler characteristic
  • Springer fiber


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