Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913639747813376 |
|---|---|
| author | Shen, Che |
| author_facet | Shen, Che |
| contents | We study the action of the quantum group $U_q(\widehat{\mathfrak{gl}_n})$ on the equivariant K-theory of affine Laumon spaces. We show that, at any highest weight away from the critical level, this can be identified with the contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$, improving earlier results of Braverman-Finkelberg and Negu{ţ}. The proof uses a variant of stable envelopes first introduced by Maulik-Okounkov in the study of Nakajima quiver varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$ Shen, Che Representation Theory 20c99 We study the action of the quantum group $U_q(\widehat{\mathfrak{gl}_n})$ on the equivariant K-theory of affine Laumon spaces. We show that, at any highest weight away from the critical level, this can be identified with the contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$, improving earlier results of Braverman-Finkelberg and Negu{ţ}. The proof uses a variant of stable envelopes first introduced by Maulik-Okounkov in the study of Nakajima quiver varieties. |
| title | Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$ |
| topic | Representation Theory 20c99 |
| url | https://arxiv.org/abs/2402.08613 |