Classification of cocovers in the double affine Bruhat order

DOI10.37236/10745zbMath1503.05129OpenAlexW4306653331MaRDI QIDQ2094873

Amanda Welch

Publication date: 8 November 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37236/10745

zbMATH Keywords

double affine Bruhat orderdouble affine Weyl semigroup

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Uses Software

• SageMath

Cites Work

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• Iwahori-Hecke algebras for \(p\)-adic loop groups
• Quantum cohomology of \(G/P\) and homology of affine Grassmannian
• On the double-affine Bruhat order: the $\varepsilon =1$ conjecture and classification of covers in ADE type
• Maximal Newton points and the quantum Bruhat graph
• An affine quantum cohomology ring for flag manifolds and the periodic Toda lattice
• On Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order

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