English

Embedding of pseudotensor category

Quantum Algebra 2026-05-19 v1 Category Theory Representation Theory

Abstract

We realize the embedding functor from pseudotensor category to tensor category in a purely algebraic setting when the pseudotensor category is the category M(H)\mathcal{M}(H) of left HH-modules, which is originally defined by Beilinson and Drinfeld. Then we use operadic methods to construct the Schur functor and free object in the tensor category.

Keywords

Cite

@article{arxiv.2605.18369,
  title  = {Embedding of pseudotensor category},
  author = {Yao Rui and Wu Zhixiang},
  journal= {arXiv preprint arXiv:2605.18369},
  year   = {2026}
}