Title of article :
CYCLIC ORDERS ON THE QUANTUM GRASSMANNIAN
Author/Authors :
Lenagan, T. H. University of Edinburgh - School of Mathematics - Maxwell Institute for Mathematical Sciences, UK , Russell, E. J. Coventry University - Faculty of Engineering and Computing, UK
Abstract :
The quantum grassmannian is known to be a graded quantum algebra with a straightening law when the poset of generating quantum minors is endowed with the standard partial ordering. In this paper it is shown that this result remains true when the ordering is subjected to cyclic shifts. The method involves proving that noncommutative dehomogenization is possible at any consecutive quantum minor.
Keywords :
quantum matrices , quantum grassmannian , algebra with a straightening law , noncommutative dehomogenization
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering
