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.
Original language | English |
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Pages (from-to) | 337-350 |
Number of pages | 14 |
Journal | Arabian journal for science and engineering |
Volume | 33 |
Issue number | 2C |
Publication status | Published - Dec 2008 |
Keywords
- quantum matrices
- quantum grassmannian
- algebra with a straightening law
- noncommutative dehomogenization
- COHEN-MACAULAY PROPERTY
- DEFORMATION
- MANIFOLD