caa a22 4500 445855584 CHVBK 20180317145427.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00026-011-0103-8 doi (NATIONALLICENCE)springer-10.1007/s00026-011-0103-8 Bitableaux and Zero Sets of Dual Canonical Basis Elements [Elektronische Daten] [Brendon Rhoades, Mark Skandera] We state new results concerning the zero sets of polynomials belonging to the dual canonical basis of $${\mathbb{C}[x_1, 1, . . . , x_n, n]}$$ . As an application, we show that this basis is related by a unitriangular transition matrix to the simpler bitableau basis popularized by Désarménien-Kung-Rota. It follows that spaces spanned by certain subsets of the dual canonical basis can be characterized in terms of products of matrix minors, or in terms of their common zero sets. Springer Basel AG, 2011 dual canonical basis nationallicence zero set nationallicence bitableau nationallicence Rhoades Brendon Department of Mathematics, KAP 108, University of Southern California, 3670 South Vermont Avenue, 90089-2532, Los Angeles, CA, USA aut Skandera Mark Department of Mathematics, Christmas-Saucon Hall, Lehigh University, 14 East Packer Avenue, 18015, Bethlehem, PA, USA aut Annals of Combinatorics SP Birkhäuser Verlag Basel 15/3(2011-09-01), 499-528 0218-0006 15:3<499 2011 15 26 https://doi.org/10.1007/s00026-011-0103-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00026-011-0103-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rhoades Brendon Department of Mathematics, KAP 108, University of Southern California, 3670 South Vermont Avenue, 90089-2532, Los Angeles, CA, USA aut NATIONALLICENCE 700 1- Skandera Mark Department of Mathematics, Christmas-Saucon Hall, Lehigh University, 14 East Packer Avenue, 18015, Bethlehem, PA, USA aut NATIONALLICENCE 773 0- Annals of Combinatorics SP Birkhäuser Verlag Basel 15/3(2011-09-01), 499-528 0218-0006 15:3<499 2011 15 26 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer