Work

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

Year: 2026

Type: preprint

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 $\varpi$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.21360

Authors: Brahma, Koushik, Huang, Yicen, Ikeda, Takeshi, Kouno, Takafumi, Yamaguchi, Kohei

Institution: Waseda University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213935749

Cites: 1

Cited by:

Related to: 10