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PreprintarXiv licencearXiv

Base change between canonical basis and path basis

  • Felix Röhrich
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Abstract

Almost 30 years ago Littelmann conjectured that there is a unitriangular base change between the dual canonical basis and the path vector basis for all symmetrizable Kac-Moody Lie algebras. In this paper we give a positive answer to the conjecture for the case of classical Lie algebras and type G2, when the path model is given by standard Young tableaux.

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Cite

BibTeXRIS
BibTeX
@misc{rohrich2026base,
  title = {{Base change between canonical basis and path basis}},
  author = {Felix Röhrich},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05183},
  eprint = {2611.05183},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05183},
}
RIS
TY  - UNPB
TI  - Base change between canonical basis and path basis
AU  - Felix Röhrich
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05183
UR  - https://arxiv.org/abs/2611.05183
AB  - Almost 30 years ago Littelmann conjectured that there is a unitriangular base change between the dual canonical basis and the path vector basis for all symmetrizable Kac-Moody Lie algebras. In this paper we give a positive answer to the conjecture for the case of classical Lie algebras and type G_2, when the path model is given by standard Young tableaux.
ER  -