Quantum Frobenius splittings and cluster structures
Representation Theory
2023-06-16 v2 Algebraic Geometry
Quantum Algebra
Abstract
We prove that the duals of the quantum Frobenius morphisms and their splittings by Lusztig are compatible with quantum cluster monomials. After specialisation, we deduce that the canonical Frobenius splittings on flag varieties are compatible with cluster algebra structures on Schubert cells.
Cite
@article{arxiv.2305.12110,
title = {Quantum Frobenius splittings and cluster structures},
author = {Jinfeng Song},
journal= {arXiv preprint arXiv:2305.12110},
year = {2023}
}
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24 pages