Combinatorial interpretation of Kazhdan–Lusztig basis elements indexed by 45312-avoiding permutations in 𝔖6 Cover

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Combinatorial interpretation of Kazhdan–Lusztig basis elements indexed by 45312-avoiding permutations in 𝔖6

Pure Mathematics and Applications

Volume 30 (2022): Issue 1 (June 2022)

By: Ashton Datko and Mark Skandera

Open Access

|Jun 2022

References

[1] S. C. Billey and G. Warrington, Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations, J. Algebraic Combin., 13 (2001) 111–136.
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[2] A. Clearwater and M. Skandera, Total nonnegativity and Hecke algebra trace evaluations, Ann. Comb., 25 (2001) 757–787.
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[3] V. Deodhar, A combinatorial setting for questions in Kazhdan-Lusztig theory, Geom. Dedicata, 36 (1990) 95–119.
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[4] D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math., 53 (1979) 165–184.
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[5] M. Skandera, On the dual canonical and Kazhdan-Lusztig bases and 3412, 4231-avoiding permutations, J. Pure Appl. Algebra, 212 (2008) 1086–1104.
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DOI: https://doi.org/10.2478/puma-2022-0011 | Journal eISSN: 1788-800X

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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

Keywords:

Kazhdan-Lusztig basis,

Related subjects:

Computer sciences,

Theoretical computer sciences,

Business and economics,

Mathematics and statistics for economists,

Differential equations and dynamical systems

© 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.

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