Module Algebra Structures of Non-Standard Quantum Group X q ( A 1 ) on C [ x, y, z ]

Dong Su ()
Additional contact information
Dong Su: School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

Mathematics, 2025, vol. 13, issue 14, 1-21

Abstract: In this paper, we investigate the module algebra structures of X q ( A 1 ) on the quantum polynomial algebra C q [ x , y , z ] . The automorphism group of C q [ x , y , z ] is denoted by Aut ( C q [ x , y , z ] ) , and we give a complete classification of X q ( A 1 ) -module algebra structures on C q [ x , y , z ] , where K 1 , K 2 ∈ Aut ( C q [ x , y , z ] ) .

Keywords: nonstandard quantum group; quantum polynomial algebra; Hopf action; module algebra; weight (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/14/2227/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/14/2227/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:14:p:2227-:d:1697345

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().