Generating basis webs for \(\text{SL}_n\).

DOI10.1016/j.aim.2012.01.016zbMath1279.20056arXiv1108.4616OpenAlexW2963340699MaRDI QIDQ409625

Bruce Fontaine

Publication date: 13 April 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4616

zbMATH Keywords

affine buildingsinvariant tensorsgeometric Satake correspondenceaffine Grassmanniansdominant minuscule weightsweb bases

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (7)

A web basis of invariant polynomials from noncrossing partitions ⋮ The Robinson-Schensted correspondence and \(A_2\)-web bases ⋮ Tropical Fock–Goncharov coordinates for -webs on surfaces I: construction ⋮ Non-elliptic webs and convex sets in the affine building ⋮ \(\mathfrak{sl}_3\)-web bases, intermediate crystal bases and categorification ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ 𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies

Cites Work

• Unnamed Item
• Enumeration of non-positive planar trivalent graphs
• Web bases for \(\text{sl}(3)\) are not dual canonical
• Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\)
• Sheaves on a loop group and Langlands duality
• The representation theory of the Temperley-Lieb algebras
• Spiders for rank 2 Lie algebras
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Buildings, spiders, and geometric Satake
• The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra

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