3 papers
math.QA2026
K-theoretic construction of affine quantum Schur algebras and iquantum groups with unequal parameters
Li Luo, Zheming Xu, Yang Yang
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…
math.RT2024
Geometric construction of Schur algebras
Li Luo, Zheming Xu, Yang Yang
We provide the geometric construction of a series of generalized Schur algebras of any type via Borel-Moore homologies and equivariant K-groups of generalized Steinberg varieties.…
math.QA2023
Invariant theory of quantum groups of type AIII
Li Luo, Zheming Xu
We develop an invariant theory of quasi-split quantum groups of type AIII on a tensor space associated to Howe dualities. The first and second…