Abstract
It is proved that the algebra of regular functions on quantum matrices admits a division ring of quotients and that this division ring is a division ring of twisted rational functions. A description is given of the field of central elements in the division ring of rational functions on quantum matrices in the one-parameter and multiparameter cases. In the one-parameter case for of a general form the center is a purely transcendental extension of a field of degree (were is the greatest common divisor of and ) if both numbers and are odd. If at least one of the numbers and is even, then the center is scalar. In the multiparameter case the answer depends upon the parameters ,, . Here the generators of the center are described and it is proved that the center is scalar for the case of even and parameters of a general form. Analogous result are obtained for the division ring of rational functions on a quantum Borel subgroup of .
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
