Item Infomation
Title: |
Modified Traces and the Nakayama Functor |
Authors: |
Taiki, Shibata Kenichi, Shimizu |
Issue Date: |
2021 |
Publisher: |
Springer |
Abstract: |
We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor Σ on a finite abelian category M, we introduce the notion of a Σ-twisted trace on the class Proj(M) of projective objects of M. In our framework, there is a one-to-one correspondence between the set of Σ-twisted traces on Proj(M) and the set of natural transformations from Σ to the Nakayama functor of M. Non-degeneracy and compatibility with the module structure (when M is a module category over a finite tensor category) of a Σ-twisted trace can be written down in terms of the corresponding natural transformation. |
Description: |
CC BY |
URI: |
https://link.springer.com/article/10.1007/s10468-021-10102-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410 |
Appears in Collections |
OER - Khoa học Tự nhiên |
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