Extension Quiver for Lie Superalgebra 𝖖(3)

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Grantcharov, Nikolay, Serganova, Vera
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211078
• 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

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...