Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2406.01050 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916271172354048 |
|---|---|
| author | Tong, Bolun Wu, Wan |
| author_facet | Tong, Bolun Wu, Wan |
| contents | We give the crystal structure of the Grothendieck group $G_0(R)$ of irreducible modules over the quiver Hecke algebra $R$ constructed in \cite{TW2023}. This leads to the categorification of the crystal $B(\infty)$ of the quantum Borcherds algebra $U_q(\mathscr g)$ and its irreducible highest weight crystal $B(λ)$ for arbitrary Borcherds-Cartan data. Additionally, we study the cyclotomic categorification of irreducible highest weight $U_q(\mathscr g)$-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01050 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quiver Hecke algebras for Borcherds-Cartan datum II Tong, Bolun Wu, Wan Representation Theory We give the crystal structure of the Grothendieck group $G_0(R)$ of irreducible modules over the quiver Hecke algebra $R$ constructed in \cite{TW2023}. This leads to the categorification of the crystal $B(\infty)$ of the quantum Borcherds algebra $U_q(\mathscr g)$ and its irreducible highest weight crystal $B(λ)$ for arbitrary Borcherds-Cartan data. Additionally, we study the cyclotomic categorification of irreducible highest weight $U_q(\mathscr g)$-modules. |
| title | Quiver Hecke algebras for Borcherds-Cartan datum II |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2406.01050 |