Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras

DOI10.1016/j.jalgebra.2012.08.025zbMath1290.17021arXiv1108.3659OpenAlexW2064898048WikidataQ115351077 ScholiaQ115351077MaRDI QIDQ2376687

Karin Baur, Volodymyr Mazorchuk

Publication date: 24 June 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3659

zbMATH Keywords

idealDyck pathBorel subalgebraaffine Lie algebraintegral sequence

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (3)

Some new binomial sums related to the Catalan triangle ⋮ LLT polynomials, chromatic quasisymmetric functions and graphs with cycles ⋮ The cyclic sieving phenomenon on circular Dyck paths

Uses Software

• OEIS

Cites Work

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• Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras
• Dyck path enumeration
• Ad-nilpotent ideals of a Borel subalgebra. II.
• ad-nilpotent ideals of a Borel subalgebra: generators and duality
• \(ad\)-nilpotent ideals of a Borel subalgebra
• 𝑎𝑑-nilpotent 𝔟-ideals in 𝔰𝔩(𝔫) having a fixed class of nilpotence: combinatorics and enumeration
• Ideals in Parabolic Subalgebras of Simple Lie Algebras
• Counting Arrangements of 1's and -1's
• Introduction to Lie Algebras and Representation Theory

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