PreprintarXiv licencearXiv
Total positivity in coordinate algebras
Abstract
We define the totally positive part of the coordinate algebra associated to a Cartan datum of simply laced type. We show its relation to the canonical basis of the corresponding plus part of the enveloping algebra.
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BibTeX
@misc{lusztig2026total,
title = {{Total positivity in coordinate algebras}},
author = {G. Lusztig},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.01321},
eprint = {2609.01321},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01321},
}
RIS
TY - UNPB
TI - Total positivity in coordinate algebras
AU - G. Lusztig
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2609.01321
UR - https://arxiv.org/abs/2609.01321
AB - We define the totally positive part of the coordinate algebra associated to a Cartan datum of simply laced type. We show its relation to the canonical basis of the corresponding plus part of the enveloping algebra.
ER -