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QUASI-DETERMINANTS AND q-COMMUTING MINORS

Published online by Cambridge University Press:  25 August 2010

AARON LAUVE
AARON LAUVE*
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA e-mail: lauve@math.luc.edu
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Abstract

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We present two new proofs of the q-commuting property holding among certain pairs of quantum minors of a q-generic matrix. The first uses elementary quasi-determinantal arithmetic; the second involves paths in a directed graph. Together, they indicate a means to build the multi-homogeneous coordinate rings of flag varieties in other non-commutative settings.

Keywords

20G4216T3015A15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 663 - 675
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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