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PreprintarXiv licencearXiv

Addendum and Corrigendum to: Some homological properties of category 𝒪, V

Abstract

In various special cases, we provide an alternative argument for equivalence between Kostant positivity of some involutions in type A and the conjunction of the categorical Kåhrstr{ö}m's condition for these involutions with indecomposability of the images of the corresponding simple modules in category 𝒪 under projective functors.

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BibTeX
@misc{ko2026addendum,
  title = {{Addendum and Corrigendum to: Some homological properties of category $\mathcalO$, V}},
  author = {Hankyung Ko and Volodymyr Mazorchuk},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.12892},
  eprint = {2611.12892},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.12892},
}
RIS
TY  - UNPB
TI  - Addendum and Corrigendum to: Some homological properties of category 𝒪, V
AU  - Hankyung Ko
AU  - Volodymyr Mazorchuk
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.12892
UR  - https://arxiv.org/abs/2611.12892
AB  - In various special cases, we provide an alternative argument for equivalence between Kostant positivity of some involutions in type A and the conjunction of the categorical Kåhrstr{ö}m's condition for these involutions with indecomposability of the images of the corresponding simple modules in category 𝒪 under projective functors.
ER  -