Extension Quiver for Lie Superalgebra (3)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Grantcharov, Nikolay, Serganova, Vera
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211078
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Extension Quiver for Lie Superalgebra (3). Nikolay Grantcharov and Vera Serganova. SIGMA 16 (2020), 141, 32 pages

We describe all blocks of the category of finite-dimensional (3)-supermodules by providing their extension quivers. We also obtain two general results about the representation of (): we show that the Ext quiver of the standard block of () is obtained from the principal block of ( − 1) by identifying...