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
From page
337
To page
350
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
Record number
2578186
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