Non-Noetherian generalized Heisenberg algebras

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Samuel A Lopes (Author) FCUP

Journal

Title: Journal of Algebra and its Applications

Vol. 16

Final page: 1750064

ISSN: 0219-4988

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 5 Citations

Other information

Authenticus ID: P-00M-QQN

DOI: 10.1142/s0219498817500645

Abstract (EN): In this note, we classify the non-Noetherian generalized Heisenberg algebras H(f) introduced in [R. Lu and K. Zhao, Finite-dimensional simple modules over generalized Heisenberg algebras, Linear Algebra Appl. 475 (2015) 276-291]. In case deg f > 1, we determine all locally finite and also all locally nilpotent derivations of H(f) and describe the automorphism group of these algebras.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13