Category O for Takiff sl_2
Representation Theory
2023-03-15 v2
Abstract
We investigate various ways to define an analogue of BGG category for the non-semi-simple Takiff extension of the Lie algebra . We describe Gabriel quivers for blocks of these analogues of category and prove extension fullness of one of them in the category of all modules.
Cite
@article{arxiv.1907.06685,
title = {Category O for Takiff sl_2},
author = {Volodymyr Mazorchuk and Christoffer Söderberg},
journal= {arXiv preprint arXiv:1907.06685},
year = {2023}
}
Comments
Fixed typos in Corollary 28