Automorphisms of Generalized Down-Up Algebras

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Paula A A B Carvalho (Author) FCUP; Samuel A Lopes (Author) FCUP

Journal

Title: Communications in Algebra

Vol. 37 No. 5

Pages: 1622-1646

ISSN: 0092-7872

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 15 Citations

Scopus - 19 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-PF5

DOI: 10.1080/00927870802209987

Abstract (EN): A generalization of down-up algebras was introduced by Cassidy and Shelton (2004), the so-called generalized down-up algebras. We describe the automorphism group of conformal Noetherian generalized down-up algebras L(f, r, s, ) such that r is not a root of unity, listing explicitly the elements of the group. In the last section, we apply these results to Noetherian down-up algebras, thus obtaining a characterization of the automorphism group of Noetherian down-up algebras A(, , ) for which the roots of the polynomial X2- X- are not both roots of unity.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25