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pro vyhledávání: '"Bruce Fontaine"'
Autor:
Bruce Fontaine, Pierre-Guy Plamondon
Publikováno v:
Journal of Algebraic Combinatorics. 44:433-445
We prove that there is a finite number of friezes in type $$D_n$$Dn, and we provide a formula to count them. As a corollary, we obtain formulas to count the number of friezes in types $$B_n$$Bn, $$C_n$$Cn and $$G_2$$G2. We conjecture finiteness (and
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https://explore.openaire.eu/search/publication?articleId=doi_________::52bbe6521e5a0602f0a076edf89738f1
https://doi.org/10.1007/s10801-016-0675-9
https://doi.org/10.1007/s10801-016-0675-9
Autor:
Bruce Fontaine
Publikováno v:
Advances in Mathematics. 229(5):2792-2817
Given a simple algebraic group G, a web is a directed trivalent graph with edges labelled by dominant minuscule weights. There is a natural surjection of webs onto the invariant space of tensor products of minuscule representations. Following the wor
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Autor:
Joel Kamnitzer, Bruce Fontaine
We study rotation of invariant vectors in tensor products of minuscule representations. We define a combinatorial notion of rotation of minuscule Littelmann paths. Using affine Grassmannians, we show that this rotation action is realized geometricall
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Publikováno v:
Fontaine, Bruce; Kamnitzer, Joel; & Kuperberg, Greg. (2011). Buildings, spiders, and geometric Satake. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/7tj32254
Let G be a simple algebraic group. Labelled trivalent graphs called webs can be used to product invariants in tensor products of minuscule representations. For each web, we construct a configuration space of points in the affine Grassmannian. Via the
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