Jieru Zhu

activity

20182026

most citedSL2 tilting modules in the mixed case

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

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7 papers · 1 filter

math.RT2023

M-diagram basis of the Specht module for $(n, n, n)$

Jieru Zhu

Motivated by the M-diagrams defined by Tymoczko, we show that these locally non-crossing $sl_{3}$ -webs form a basis of the Specht module for the partition $(n, n, n)$ . They…

math.RT2023

Superalgebra deformations of web categories: finite webs

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

Let $k$ be a characteristic zero domain. For a locally unital $k$ -superalgebra $A$ with distinguished idempotents $I$ and even subalgebra $a \subseteq A_{0 ˉ}$ ,…

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 $SL_{2}$ in the mixed case. This simu…

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 $(n, n)$ , 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 $U (gl_{N})$ 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 $q (n)$

Jieru Zhu

We define the degenerate two boundary affine Hecke-Clifford algebra $H_{d}$ , and show it admits a well-defined $q (n)$ -linear action on the tensor space $M\otimes…

math.RT2018

Two Boundary Centralizer Algebras for $gl (n ∣ m)$

Jieru Zhu

We define an action of the degenerate two boundary braid algebra $G_{d}$ on the $C$ -vector space $M \otimes N \otimes V^{\otimes d}$ , where $M$ and $N$ are arbitrary…

M-diagram basis of the Specht module for (n,n,n)

Superalgebra deformations of web categories: finite webs

SL2 tilting modules in the mixed case

Transitioning between tableaux and spider bases for Specht modules

Quasi-split symmetric pairs of U(glN​) and their Schur algebras

Two Boundary Centralizer Algebras for q(n)

Two Boundary Centralizer Algebras for gl(n∣m)

M-diagram basis of the Specht module for $(n, n, n)$

Quasi-split symmetric pairs of $U (gl_{N})$ and their Schur algebras

Two Boundary Centralizer Algebras for $q (n)$

Two Boundary Centralizer Algebras for $gl (n ∣ m)$