Web bases for the general linear groups

DOI10.1007/s10801-011-0294-4zbMath1272.17020arXiv1011.6542OpenAlexW3106387120MaRDI QIDQ658544

Bruce W. Westbury

Publication date: 12 January 2012

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6542

zbMATH Keywords

Quantized enveloping algebrainvariant tensorsflow diagramswave graphs

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Related Items (5)

A web basis of invariant polynomials from noncrossing partitions ⋮ The combinatorics of \(\mathsf{A}_2\)-webs ⋮ Non-elliptic webs and convex sets in the affine building ⋮ From dimers to webs ⋮ Buildings, spiders, and geometric Satake

Cites Work

• Quantized mixed tensor space and Schur-Weyl duality
• Invariant tensors and the cyclic sieving phenomenon
• Promotion and cyclic sieving via webs
• Invariant tensors and cellular categories.
• Skein theory for the \(ADE\) planar algebras
• Enumeration of non-positive planar trivalent graphs
• On the blocks of the walled Brauer algebra.
• Cyclic sieving, promotion, and representation theory
• Skein theory for the \(D_{2n}\) planar algebras
• Spherical categories
• Web bases for \(\text{sl}(3)\) are not dual canonical
• Tensor product representations of general linear groups and their connections with Brauer algebras
• Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\)
• Homfly polynomial via an invariant of colored plane graphs
• Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\)
• The representation theory of the Temperley-Lieb algebras
• The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at \(q = 0\)
• Spiders for rank 2 Lie algebras
• The cyclic sieving phenomenon: a survey
• New versions of Schur-Weyl duality
• Invariant tensors for the spin representation of (7)
• Introduction to quantum groups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Web bases for the general linear groups