PreprintarXiv licencearXiv
Minuscule Relations in Quantum K-Theory of Flag Varieties
Abstract
We study the quantum K-theory of the flag variety G/B. For each minuscule fundamental weight ϖ, we construct an explicit relation in the torus-equivariant quantum K-theory QKT(G/B). The relation can be regarded as a quantum deformation of the character of the irreducible representation with highest weight ϖ.
Related
- Convergence and semisimplicity of big quantum cohomology of flag varieties
- Free-Monodromic Mixed Tilting Sheaves on Flag Varieties
- Independence of the Grothendieck classes of twisted symplectic flag varieties
- Semiorthogonal decompositions for families of twisted flag varieties
- Double flag varieties of Levi type with a finite number of orbits
BibTeX
@misc{brahma2026minuscule,
title = {{Minuscule Relations in Quantum $K$-Theory of Flag Varieties}},
author = {Koushik Brahma and Yicen Huang and Takeshi Ikeda and Takafumi Kouno and Kohei Yamaguchi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21360},
eprint = {2609.21360},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21360},
}
RIS
TY - UNPB
TI - Minuscule Relations in Quantum K-Theory of Flag Varieties
AU - Koushik Brahma
AU - Yicen Huang
AU - Takeshi Ikeda
AU - Takafumi Kouno
AU - Kohei Yamaguchi
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21360
UR - https://arxiv.org/abs/2609.21360
AB - We study the quantum K-theory of the flag variety G/B. For each minuscule fundamental weight ϖ, we construct an explicit relation in the torus-equivariant quantum K-theory QK_T(G/B). The relation can be regarded as a quantum deformation of the character of the irreducible representation with highest weight ϖ.
ER -