PreprintarXiv licencearXiv
On the new bases attached to Weyl groups of exceptional type
Abstract
We define the new basis of the Grothendieck group of unipotent representations in an exceptional Weyl group, making more precise and correcting results in previous papers.
Related
- Lie (super)algebras generated by reflections in finite reflection groups of exceptional type
- Connection matrices and Berry phases on the homogeneous spaces ๐J1 and ๐ณJ1 attached to Jacobi groups
- Nontransitivity of braid group actions on exceptional bases in K0(โn) for n=4,6
- Stieltjes constants for Hurwitz-type L-series attached to periodic arithmetic functions
- Two problems about bases and independent sets in free groups
BibTeX
@misc{lusztig2026bases,
title = {{On the new bases attached to Weyl groups of exceptional type}},
author = {G. Lusztig},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04089},
eprint = {2609.04089},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04089},
}
RIS
TY - UNPB
TI - On the new bases attached to Weyl groups of exceptional type
AU - G. Lusztig
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.04089
UR - https://arxiv.org/abs/2609.04089
AB - We define the new basis of the Grothendieck group of unipotent representations in an exceptional Weyl group, making more precise and correcting results in previous papers.
ER -