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arXiv · 2609.21360

Minuscule Relations in Quantum $K$-Theory of Flag Varieties

Koushik Brahma·Yicen Huang·Takeshi Ikeda·Takafumi Kouno·Kohei Yamaguchi
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Abstract

We study the quantum $K$-theory of the flag variety $G/B$. For each minuscule fundamental weight $\varpi$, 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 $\varpi$.

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BibTeXRIS

Koushik Brahma, Yicen Huang, Takeshi Ikeda, Takafumi Kouno, Kohei Yamaguchi. 2026-09-18. Minuscule Relations in Quantum $K$-Theory of Flag Varieties. https://arxiv.org/abs/2609.21360

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