Abstract
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 language | English (US) |
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Pages (from-to) | 321-338 |
Number of pages | 18 |
Journal | Journal of Algebra |
Volume | 505 |
DOIs | |
State | Published - Jul 1 2018 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 Elsevier Inc.
Keywords
- Deligne–Lusztig character
- Deligne–Lusztig variety
- Euler characteristic
- Springer fiber