LOCALLY FINITE REPRESENTATIONS OVER NOETHERIAN HOPF ALGEBRAS

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Hatipoglu, C (Author) Other; Christian Lomp (Author) FCUP

Journal

Title: Proceedings of the American Mathematical Society

Vol. 150

Pages: 1903-1923

ISSN: 0002-9939

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 0 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics > Algebra

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00W-8RQ

DOI: 10.1090/proc/15747

Abstract (EN): We study finite dimensional representations over some Noetherian algebras over a field of characteristic zero. More precisely, we give necessary and sufficient conditions for the category of locally finite dimensional representations to be closed under taking injective hulls and extend results known for group rings and enveloping algebras to Ore extensions, Hopf crossed products, and affine Hopf algebras of low Gelfand-Kirillov dimension.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21