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Researchers use big data to analyze Kazhdan-Lusztig polynomials

A new research paper explores the structure of Kazhdan-Lusztig polynomials for the symmetric group. The study employs big data computational approaches, including exploratory and topological data analysis, to examine these polynomials for symmetric groups up to 11 strands. The paper, authored by Abel Lacabanne, was submitted to arXiv on December 2, 2024. AI

IMPACT This research applies big data techniques to mathematical structures, potentially influencing how complex systems are analyzed.

RANK_REASON The cluster contains a research paper on arXiv detailing a novel computational approach to a mathematical concept. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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Researchers use big data to analyze Kazhdan-Lusztig polynomials

COVERAGE [1]

  1. arXiv cs.LG TIER_1 Polski(PL) · Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz ·

    Big data approach to Kazhdan-Lusztig polynomials

    arXiv:2412.01283v3 Announce Type: replace-cross Abstract: We investigate the structure of Kazhdan-Lusztig polynomials of the symmetric group by leveraging computational approaches from big data, including exploratory and topological data analysis, applied to the polynomials for s…