8 papers
Dual partially harmonic tensors and quantized Schur--Weyl duality
Pei Wang, Zhankui Xiao
Let be a -dimensional symplectic space over an infinite field . Let be the two-sided ideal of the Birman--Murakami--Wenzl algebra $\mathfrak{B…
Half-Diagrams in Partition Algebras: A Geometric Perspective on Multiplicities
Pei Wang, Changjing Zhuge
This paper studies the restriction multiplicities of half-diagram modules for the partition algebra and their geometric interpretations. By specializing the Bowman-De Visscher-Orel…
On generalized Fuchs theorem over relative -adic polyannuli
Peiduo Wang
In this paper, we study coherent locally free (logarithmic-)-modules on relative -adic polyannuli satisfying the Robba condition and prove several criteria for decomposi…
On generalized Fuchs theorem over -adic polyannuli
Peiduo Wang
In this paper, we study finite projective differential modules on -adic polyannuli satisfying the Robba condition. Christol and Mebkhout proved the decomposition theorem (the $p…
On Grothendieck ring of the sequence of walled Brauer algebras
Pei Wang, Yanbo Li
In this paper, we provide a diagrammatic approach to study the branching rules for cell modules on a sequence of walled Brauer algebras. This also allows us to calculate the struct…
Branching rules for cell modules on a tower of the partition algebras
Pei Wang
Partition algebras with non-zero parameters are cellularly stratified and thus have the features of both cellular algebras and stratified algebras. Also, partition algebras form a…
Induction and restriction functors for cellular categories
Pei Wang
Cellular categories are a generalization of cellular algebras, which include a number of important categories such as (affine)Temperley-Lieb categories, Brauer diagram categories,…
Relative Rips Machine
Pei Wang
We study isometric actions of finitely presented groups on -trees. In this paper, we develop a relative version of the Rips machine to study of such ac…