Q-ANALYTIC FUNCTIONS ON QUANTUM SPACES

Authors
ABAD ASD MILANI V
Citation
Asd. Abad et V. Milani, Q-ANALYTIC FUNCTIONS ON QUANTUM SPACES, Journal of mathematical physics, 35(9), 1994, pp. 5074-5086
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
9
Year of publication
1994
Pages
5074 - 5086
Database
ISI
SICI code
0022-2488(1994)35:9<5074:QFOQS>2.0.ZU;2-C
Abstract
In this article a different interpretation is given of the quantum pla ne introduced by Manin and the Q-analytic functions on its two-interva ls are characterized. The A(1)(q) modules of Q-analytic functions defi ned in this article are in fact noncommutative associative algebras wi th unity, which can be considered as the deformations of the algebras of analytic functions on the two intervals of R(2). Some results obtai ned by this approach are briefly mentioned.