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Identities for subspaces of a parametric Weyl algebra.

Authors :
Lopatin, Artem
Rodriguez Palma, Carlos Arturo
Source :
Linear Algebra & its Applications. Dec2022, Vol. 654, p250-266. 17p.
Publication Year :
2022

Abstract

In 2013 Benkart, Lopes and Ondrus introduced and studied in a series of papers the infinite-dimensional unital associative algebra A h generated by elements x , y , which satisfy the relation y x − x y = h for some 0 ≠ h ∈ F [ x ]. In this paper we investigate the standard polynomial identities and minimal identities for certain subspaces of A h over an infinite field of arbitrary characteristic. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
654
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
159570077
Full Text :
https://doi.org/10.1016/j.laa.2022.08.025