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K-theoretic construction of affine quantum Schur algebras...
[Submitted on 14 Jun 2026] · 2026-06-16 · via math updates on arXiv.org

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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.

Submission history

From: Li Luo [view email]
[v1] Sun, 14 Jun 2026 10:12:03 UTC (36 KB)