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- W4316662931 abstract "Abstract We investigate special points on the Grassmannian, which correspond to friezes with coefficients in the case of rank two. Using representations of arithmetic matroids, we obtain a theorem on subpolygons of specializations of the coordinate ring. As a special case, we recover the characterization of subpolygons in classic frieze patterns. Moreover, we observe that specializing clusters of the coordinate ring of the Grassmannian to units yields representations that may be interpreted as arrangements of hyperplanes with notable properties. In particular, we get an interpretation of certain Weyl groups and groupoids as generalized frieze patterns." @default.
- W4316662931 created "2023-01-17" @default.
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- W4316662931 date "2023-01-13" @default.
- W4316662931 modified "2023-10-15" @default.
- W4316662931 title "Grassmannians over Rings and Subpolygons" @default.
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- W4316662931 doi "https://doi.org/10.1093/imrn/rnac350" @default.
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