On commutation classes of reduced words in Weyl groups

DOI10.1006/eujc.1999.0296zbMath0934.05126OpenAlexW2077776815MaRDI QIDQ1306929

Robert Bédard

Publication date: 10 April 2000

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1999.0296

zbMATH Keywords

symmetric groupquivercommutation classreduced words in Weyl groupssimply laced root system

Mathematics Subject Classification ID

Related Items (34)

Enumeration of Gelfand-Cetlin type reduced words ⋮ Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality ⋮ Small toric resolutions of toric varieties of string polytopes with small indices ⋮ Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality ⋮ Combinatorial Auslander-Reiten quivers and reduced expressions ⋮ Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types ⋮ The commutation graph for the longest signed permutation ⋮ Enumerations relating braid and commutation classes ⋮ Forced perimeter in Elnitksy polygons ⋮ Tiling-based models of perimeter and area ⋮ Categorical relations between Langlands dual quantum affine algebras: exceptional cases ⋮ The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications ⋮ Deformed Cartan matrices and generalized preprojective algebras. II: General type ⋮ \(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras ⋮ Cluster algebra structures on module categories over quantum affine algebras ⋮ Braid graphs in simply-laced triangle-free Coxeter systems are partial cubes ⋮ Monoidal categorification and quantum affine algebras. II ⋮ Adapted sequence for polyhedral realization of crystal bases ⋮ Subword complexes, cluster complexes, and generalized multi-associahedra ⋮ Type \(\widetilde{C}\) Temperley-Lieb algebra quotients and Catalan combinatorics ⋮ Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm ⋮ ON CRYSTAL OPERATORS IN LUSZTIG'S PARAMETRIZATIONS AND STRING CONE DEFINING INEQUALITIES ⋮ Auslander-Reiten numbers games ⋮ Coxeter elements and periodic Auslander-Reiten quiver. ⋮ Exceptional sequences and clusters. (With an appendix with Hugh Thomas). ⋮ Unnamed Item ⋮ Auslander-Reiten quivers and the Coxeter complex. ⋮ Q-data and representation theory of untwisted quantum affine algebras ⋮ Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV ⋮ Cluster realizations of Weyl groups and higher Teichmüller theory ⋮ On the combinatorics of string polytopes ⋮ Categorical relations between Langlands dual quantum affine algebras: doubly laced types ⋮ Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras ⋮ Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality

Cites Work

• Unnamed Item
• Representation theory I. Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13- 18, 1979. Ed. by V. Dlab and P. Gabriel
• Canonical Bases Arising from Quantized Enveloping Algebras

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