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On the homogeneity problem of the Kazhdan-Lusztig ideals

Combinatorics 2025-07-31 v2

Abstract

In this paper, we identify some sufficient conditions for a Kazhdan-Lusztig ideal to be inhomogeneous. Also, we attempt to approach the problem of giving some necessary and sufficient conditions for a Kazhdan-Lusztig ideal to be "standard homogeneous".

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Cite

@article{arxiv.2506.20153,
  title  = {On the homogeneity problem of the Kazhdan-Lusztig ideals},
  author = {Adhip Ganguly and Shyamashree Upadhyay},
  journal= {arXiv preprint arXiv:2506.20153},
  year   = {2025}
}

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28 pages