Transitioning between tableaux and spider bases for Specht modules

DOI10.1007/s10468-020-10026-6zbMath1485.05178arXiv1911.05049OpenAlexW3131188789MaRDI QIDQ2118267

Jieru Zhu, Mee Seong Im

Publication date: 22 March 2022

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05049

zbMATH Keywords

Specht modulesKazhdan-Lusztig theoryweb basescup diagrams

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30)

Related Items (3)

A web basis of invariant polynomials from noncrossing partitions ⋮ A combinatorial model for the transition matrix between the Specht and -web bases ⋮ A combinatorial model for the transition matrix between the Specht and web bases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 2-block Springer fibers: convolution algebras and coherent sheaves
• Webs and quantum skew Howe duality
• Promotion and cyclic sieving via webs
• An occurrence of the Robinson-Schensted correspondence
• Polynomial representations of \(GL_n\)
• Web bases for \(\text{sl}(3)\) are not dual canonical
• On the topology of components of some Springer fibers and their relation to Kazhdan-Lusztig theory.
• Spiders for rank 2 Lie algebras
• Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory
• Super \(q\)-Howe duality and web categories
• Springer representations on the Khovanov Springer varieties
• Webs for permutation supermodules of type Q
• THE POLYTABLOID BASIS EXPANDS POSITIVELY INTO THE WEB BASIS
• The Transition Matrix between the Specht and Web Bases Is Unipotent with Additional Vanishing Entries
• Tensor Categories
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

This page was built for publication: Transitioning between tableaux and spider bases for Specht modules