activity
20182026
most citedSL2 tilting modules in the mixed case

10 citations · 16 across the 11 of their papers we have counts for

collaborators

11 papers

math.CO2026

The conflated expression graph for an arbitrary permutation

Jieru Zhu

We show that the conflated expression graph for an arbitrary permutation has a unique minimal element and a unique maximal element, and every reduced expression sits on a maximal c…

math.RT2023

M-diagram basis of the Specht module for

Jieru Zhu

Motivated by the M-diagrams defined by Tymoczko, we show that these locally non-crossing -webs form a basis of the Specht module for the partition . They…

math.RT2023

Superalgebra deformations of web categories: finite webs

Nicholas Davidson, Jonathan R. Kujawa, Robert Muth +1

Let be a characteristic zero domain. For a locally unital -superalgebra with distinguished idempotents and even subalgebra ,…

math.RT2021★ 10 cited

SL2 tilting modules in the mixed case

Louise Sutton, Daniel Tubbenhauer, Paul Wedrich +1

Using the non-semisimple Temperley-Lieb calculus, we study the additive and monoidal structure of the category of tilting modules for in the mixed case. This simu…

math.RA2020★ 1 cited

Tensor Representations for the Drinfeld Double of the Taft Algebra

Georgia Benkart, Rekha Biswal, Ellen Kirkman +2

Over an algebraically closed field of characteristic zero, the Drinfeld double of the Taft algebra that is defined using a primitive th root of unity $q \in \m…

math.RA2020★ 1 cited

McKay Matrices for Finite-dimensional Hopf Algebras

Georgia Benkart, Rekha Biswal, Ellen Kirkman +2

For a finite-dimensional Hopf algebra , the McKay matrix of an -module encodes the relations for tensoring the simple -modules with . We prove results about t…

math.RT2019★ 2 cited

Transitioning between tableaux and spider bases for Specht modules

Mee Seong Im, Jieru Zhu

Regarding the Specht modules associated to the two-row partition , we provide a combinatorial path model to study the transitioning matrix from the tableau basis to the $A_1…

math.RT2019

Quasi-split symmetric pairs of and their Schur algebras

Yiqiang Li, Jieru Zhu

We establish explicit isomorphisms of two seemingly-different algebras, and their Schur algebras, arising from the centralizers of two different type B Weyl group actions in Schur-…

math.RT2019

Two Boundary Centralizer Algebras for

Jieru Zhu

We define the degenerate two boundary affine Hecke-Clifford algebra , and show it admits a well-defined -linear action on the tensor space $M\otimes…

cs.CV2018★ 2 cited

Learning Symmetry Consistent Deep CNNs for Face Completion

Xiaoming Li, Ming Liu, Jieru Zhu +4

Deep convolutional networks (CNNs) have achieved great success in face completion to generate plausible facial structures. These methods, however, are limited in maintaining global…

math.RT2018

Two Boundary Centralizer Algebras for

Jieru Zhu

We define an action of the degenerate two boundary braid algebra on the -vector space , where and are arbitrary…