紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2023, 60(3), p. 637-652

TORUS FIXED POINT SETS OF HESSENBERG SCHUBERT VARIETIES IN REGULAR SEMISIMPLE HESSENBERG VARIETIES

Osaka University and Osaka Metropolitan University, Departments of Mathematics

英語

text

2023-07

It is well-known that the T-fixed points of a Schubert variety in the flag variety GLn(C)/B can be characterized purely combinatorially in terms of Bruhat order on the symmetric group Sn. In a recent preprint, Cho, Hong, and Lee give a combinatorial description of the T-fixed points of Hessenberg analogues of Schubert varieties (which we call Hessenberg Schubert varieties) in a regular semisimple Hessenberg variety. This note gives an interpretation of their result in terms of Bruhat order by making use of a partition of the symmetric group defined using so-called subsets of Weyl type. The Appendix, written by Michael Zeng, proves a lemma concerning subsets of Weyl type which is required in our arguments.

10.18910/92412

92412

TORUS FIXED POINT SETS OF HESSENBERG SCHUBERT VARIETIES IN REGULAR SEMISIMPLE HESSENBERG VARIETIES

Osaka University and Osaka Metropolitan University, Departments of Mathematics

英語

2023-07

Osaka Journal of Mathematics

60

3

637

652

https://hdl.handle.net/11094/92412

10.18910/92412

https://doi.org/10.18910/92412