Extension Quiver for Lie Superalgebra 𝖖(3)
We describe all blocks of the category of finite-dimensional 𝖖(3)-supermodules by providing their extension quivers. We also obtain two general results about the representation of 𝖖(𝑛): we show that the Ext quiver of the standard block of 𝖖(𝑛) is obtained from the principal block of 𝖖(𝑛 − 1) by iden...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2020 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211078 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Extension Quiver for Lie Superalgebra 𝖖(3). Nikolay Grantcharov and Vera Serganova. SIGMA 16 (2020), 141, 32 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We describe all blocks of the category of finite-dimensional 𝖖(3)-supermodules by providing their extension quivers. We also obtain two general results about the representation of 𝖖(𝑛): we show that the Ext quiver of the standard block of 𝖖(𝑛) is obtained from the principal block of 𝖖(𝑛 − 1) by identifying certain vertices of the quiver and proving a ''virtual'' BGG-reciprocity for 𝖖(𝑛). The latter result is used to compute the radical filtrations of 𝖖(3) projective covers.
|
|---|---|
| ISSN: | 1815-0659 |