Representation Theory of a Semisimple Extension of the Takiff Superalgebra-Reference-Cited by-同舟云学术

Representation Theory of a Semisimple Extension of the Takiff Superalgebra

Published:2021-06-08 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Cheng Shun-Jen¹,Coulembier Kevin²

Affiliation:

1. Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan

2. School of Mathematics and Statistics, University of Sydney, F07, New South Wales 2006, Australia

Abstract

Abstract We study a semisimple extension of a Takiff superalgebra, which turns out to have a remarkably rich representation theory. We determine the blocks in both the finite-dimensional and BGG module categories and also classify the Borel subalgebras. We further compute all extension groups between two finite-dimensional simple objects and prove that all non-principal blocks in the finite-dimensional module category are Koszul.

Funder

Ministry of Science and Technology of the Republic of China

ARC

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab149/38503301/rnab149.pdf

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