Catalan triangle numbers and binomial coefficients

DOI10.1090/conm/713/14315zbMath1421.05010arXiv1601.06685OpenAlexW2962975756MaRDI QIDQ5234921

Se-jin Oh, Kyu-Hwan Lee

Publication date: 7 October 2019

Published in: Representations of Lie Algebras, Quantum Groups and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06685

zbMATH Keywords

alternating Jacobsthal triangle

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of representation theory (05E10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (3)

Fully commutative elements of the complex reflection groups ⋮ Type \(\widetilde{C}\) Temperley-Lieb algebra quotients and Catalan combinatorics ⋮ Unnamed Item

Cites Work

• Fully commutative elements of type \(D\) and homogeneous representations of KLR-algebras
• A Catalan triangle
• The enumeration of fully commutative elements of Coxeter groups
• Lattice animals and heaps of dimers
• The equality of multiple integrals in the series of development of a reflection coefficient for waves governed by a general linear differential equation
• Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations
• Weight Multiplicities and Young Tableaux Through Affine Crystals
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