Geodesic
Cyclic Demazure modules and positroid varieties
The electronic journal of combinatorics, Tome 26 (2019) no. 2
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A positroid variety is an intersection of cyclically rotated Grassmannian Schubert varieties. Each graded piece of the homogeneous coordinate ring of a positroid variety is the intersection of cyclically rotated (rectangular) Demazure modules, which we call the cyclic Demazure module. In this note, we show that the cyclic Demazure module has a canonical basis, and define the cyclic Demazure crystal.
DOI : 10.37236/8383
Classification : 05E10, 14N15, 14M15
Mots-clés : Demazure module, Borel-Weil theorem, positroid varieties, Schubert varities 
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     author = {Thomas Lam},
     title = {Cyclic {Demazure} modules and positroid varieties},
     journal = {The electronic journal of combinatorics},
     year = {2019},
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     number = {2},
     doi = {10.37236/8383},
     zbl = {1475.05170},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8383/}
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Thomas Lam. Cyclic Demazure modules and positroid varieties. The electronic journal of combinatorics, Tome 26 (2019) no. 2. doi: 10.37236/8383

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