Peng Shan

most citedGraded decomposition matrices of v-Schur algebras via Jantzen filtration

5 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.RT2024

Dualities of $K$ -theoretic Coulomb branches from a once-punctured torus

Dylan G. L. Allegretti, Peng Shan

We consider the quantized $SL_{2}$ -character variety of a once-punctured torus. We show that this quantized algebra has three $Z_{2}$ -invariant subalgebras that are i…

math.RT2024

Modularity for $W$ -algebras and affine Springer fibres

Peng Shan, Dan Xie, Wenbin Yan

We construct a bijection between admissible representations for an affine Lie algebra $g$ at boundary admissible levels and $C^{\times}$ fixed points in homogeneo…

math.RT2024

Skein algebras and quantized Coulomb branches

Dylan G. L. Allegretti, Peng Shan

To a compact oriented surface of genus at most one with boundary, we associate a quantized $K$ -theoretic Coulomb branch in the sense of Braverman, Finkelberg, and Nakajima. In the…

math.RT2010★ 5 cited

Graded decomposition matrices of v-Schur algebras via Jantzen filtration

Peng Shan

We prove that certain parabolic Kazhdan-Lusztig polynomials calculate the graded decomposition matrices of v-Schur algebras given by the Jantzen filtration of Weyl modules, confirm…

Dualities of K-theoretic Coulomb branches from a once-punctured torus

Modularity for W-algebras and affine Springer fibres

Skein algebras and quantized Coulomb branches

Graded decomposition matrices of v-Schur algebras via Jantzen filtration

Dualities of $K$ -theoretic Coulomb branches from a once-punctured torus

Modularity for $W$ -algebras and affine Springer fibres