PBW bases and marginally large tableaux in types B and C

zbMath1411.05278MaRDI QIDQ2632674

Jackson A. Criswell, Ben Salisbury, Peter Tingley

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//35-Criswell-Salisbury-Tingley.html

zbMATH Keywords

Young tableauxcrystalPBW basisKostant partition

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• Unnamed Item
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• Young tableaux, multisegments, and PBW bases
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• Kashiwara and Zelevinsky involutions in affine type A
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Crystal bases and Young tableaux
• Tensor product multiplicities, canonical and totally positive varieties
• Lusztig data of Kashiwara-Nakashima tableaux in types \(B\) and \(C\)
• PBW bases and marginally large tableaux in type \(D\)
• PBW Bases and Marginally Large Tableaux in Types B and C
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Zelevinsky's involution at roots of unity
• Elementary construction of Lusztig’s canonical basis
• YOUNG TABLEAUX, CANONICAL BASES, AND THE GINDIKIN-KARPELEVICH FORMULA

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