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PreprintarXiv licencearXiv

Hybrid Kazhdan-Lusztig basis and parabolic induction

Abstract

We provide a categorification for the hybrid Kazhdan-Lusztig bases of the Hecke algebra by constructing and investigating a series of new stratified structures on the principal block of BGG category 𝒪.

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BibTeX
@misc{mazorchuk2026hybrid,
  title = {{Hybrid Kazhdan-Lusztig basis and parabolic induction}},
  author = {Volodymyr Mazorchuk and Shraddha Srivastava},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10152},
  eprint = {2609.10152},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10152},
}
RIS
TY  - UNPB
TI  - Hybrid Kazhdan-Lusztig basis and parabolic induction
AU  - Volodymyr Mazorchuk
AU  - Shraddha Srivastava
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10152
UR  - https://arxiv.org/abs/2609.10152
AB  - We provide a categorification for the hybrid Kazhdan-Lusztig bases of the Hecke algebra by constructing and investigating a series of new stratified structures on the principal block of BGG category 𝒪.
ER  -