Combinatorial interpretation of Kazhdan–Lusztig basis elements indexed by 45312-avoiding permutations in 𝔖6
By: Ashton Datko and Mark Skandera
References
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illey and G. Warrington , Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations, J. Algebraic Combin., 13 (2001) 111–136. - [2] A. C
learwater and M. Skandera , Total nonnegativity and Hecke algebra trace evaluations, Ann. Comb., 25 (2001) 757–787. - [3] V. D
eodhar , A combinatorial setting for questions in Kazhdan-Lusztig theory, Geom. Dedicata, 36 (1990) 95–119. - [4] D. K
azhdan and G. Lusztig , Representations of Coxeter groups and Hecke algebras, Invent. Math., 53 (1979) 165–184. - [5] M. S
kandera , On the dual canonical and Kazhdan-Lusztig bases and 3412, 4231-avoiding permutations, J. Pure Appl. Algebra, 212 (2008) 1086–1104.
DOI: https://doi.org/10.2478/puma-2022-0011 | Journal eISSN: 1788-800X
Language: English
Page range: 68 - 74
Submitted on: Mar 31, 2022
Accepted on: May 15, 2022
Published on: Jun 18, 2022
Published by: Corvinus University of Budapest
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2022 Ashton Datko, Mark Skandera, published by Corvinus University of Budapest
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.