4 citations · 10 across the 5 of their papers we have counts for
6 papers
Adjunction in the absence of identity
Hankyung Ko, Volodymyr Mazorchuk, Xiaoting Zhang
We develop a bicategorical setup in which one can speak about adjoint 1-morphisms even in the absence of genuine identity 1-morphisms. We also investigate which part of 2-represent…
Furnishing Your Room by What You See: An End-to-End Furniture Set Retrieval Framework with Rich Annotated Benchmark Dataset
Bingyuan Liu, Jiantao Zhang, Xiaoting Zhang +3
Understanding interior scenes has attracted enormous interest in computer vision community. However, few works focus on the understanding of furniture within the scenes and a large…
Quantum (dual) Grassmann superalgebra as -module algebra and beyond
Ge Feng, Naihong Hu, Meirong Zhang +1
We introduce and define the quantum affine -superspace (or say quantum Manin superspace) and its dual object, the quantum Grassmann superalgebra . Corr…
2-categories of symmetric bimodules and their 2-representations
Volodymyr Mazorchuk, Vanessa Miemietz, Xiaoting Zhang
In this article we analyze the structure of -categories of symmetric projective bimodules over a finite dimensional algebra with respect to the action of a finite abelian group.…
Indecomposable manipulations with simple modules in category O
Kevin Coulembier, Volodymyr Mazorchuk, Xiaoting Zhang
We study the problem of indecomposability of translations of simple modules in the principal block of BGG category for , as conjectured in \cite{KiM}…
Pyramids and 2-representations
Volodymyr Mazorchuk, Vanessa Miemietz, Xiaoting Zhang
We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we…