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arXiv · 2606.15722

K-theoretic construction of affine quantum Schur algebras and iquantum groups with unequal parameters

Li Luo·Zheming Xu·Yang Yang
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Abstract

We present an equivariant K-theoretic construction of affine quantum Schur algebras of type C with three parameters by taking advantage of Kato's exotic framework. This enables the derivation of an equivariant K-theoretic realization of affine iquantum groups of type AIII with three parameters. Additionally, in Appendix A, we provide an equivariant K-theoretic construction of affine quantum Schur algebras of types B/C/F/G with two parameters, following Antor's recent work on affine Hecke algebras with two parameters.

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Li Luo, Zheming Xu, Yang Yang. 2026-06-14. K-theoretic construction of affine quantum Schur algebras and iquantum groups with unequal parameters. https://arxiv.org/abs/2606.15722

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