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Desingularization in the q-Weyl algebra.
- Source :
-
Advances in Applied Mathematics . Jun2018, Vol. 97, p80-101. 22p. - Publication Year :
- 2018
-
Abstract
- In this paper, we study the desingularization problem in the first q -Weyl algebra. We give an order bound for desingularized operators, and thus derive an algorithm for computing desingularized operators in the first q -Weyl algebra. Moreover, an algorithm is presented for computing a generating set of the first q -Weyl closure of a given q -difference operator. As an application, we certify that several instances of the colored Jones polynomial are Laurent polynomial sequences by computing the corresponding desingularized operator. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*DIFFERENCE operators
*MATHEMATICAL analysis
*ALGORITHMS
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 01968858
- Volume :
- 97
- Database :
- Academic Search Index
- Journal :
- Advances in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 128589211
- Full Text :
- https://doi.org/10.1016/j.aam.2018.02.005