Seidel product formula in equivariant quantum $K$-theory of flag varieties
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915823418867712 |
|---|---|
| author | Ikeda, Takeshi Kouno, Takafumi Naito, Satoshi |
| author_facet | Ikeda, Takeshi Kouno, Takafumi Naito, Satoshi |
| contents | We prove a Seidel product formula for the torus-equivariant quantum $K$-theory of a generalized flag variety $G/P.$ This is a natural generalization of the corresponding results by Buch, Chaput, and Perrin for the cominuscule flag varieties. Our proof is based on the $K$-theoretic Peterson isomorphism, due to Kato. We also use a version of the $K$-theoretic nil-Hecke algebra associated with the extended affine Weyl group, which was studied by Ikeda, Shimozono, and Yamaguchi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24050 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Seidel product formula in equivariant quantum $K$-theory of flag varieties Ikeda, Takeshi Kouno, Takafumi Naito, Satoshi Algebraic Geometry Combinatorics Representation Theory 14M15, 05E05, 20G05 We prove a Seidel product formula for the torus-equivariant quantum $K$-theory of a generalized flag variety $G/P.$ This is a natural generalization of the corresponding results by Buch, Chaput, and Perrin for the cominuscule flag varieties. Our proof is based on the $K$-theoretic Peterson isomorphism, due to Kato. We also use a version of the $K$-theoretic nil-Hecke algebra associated with the extended affine Weyl group, which was studied by Ikeda, Shimozono, and Yamaguchi. |
| title | Seidel product formula in equivariant quantum $K$-theory of flag varieties |
| topic | Algebraic Geometry Combinatorics Representation Theory 14M15, 05E05, 20G05 |
| url | https://arxiv.org/abs/2602.24050 |