Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13413 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917928837840896 |
|---|---|
| author | Chowdhury, Sulakhana Thangavelu, Geetha |
| author_facet | Chowdhury, Sulakhana Thangavelu, Geetha |
| contents | In this article, we compare the cohomology between the categories of modules of the diagram algebras and the categories of modules of its input algebras. Our main result establishes a sufficient condition for exact split pairs between these two categories, analogous to a work by Diracca and Koenig in [7]. To be precise, we prove the existence of the exact split pairs in $A$-Brauer algebras, cyclotomic Brauer algebras, and walled Brauer algebras with their respective input algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13413 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparing cohomology via exact split pairs in diagram algebras Chowdhury, Sulakhana Thangavelu, Geetha Representation Theory 18E30, 20J05, 20C30, 16D40 In this article, we compare the cohomology between the categories of modules of the diagram algebras and the categories of modules of its input algebras. Our main result establishes a sufficient condition for exact split pairs between these two categories, analogous to a work by Diracca and Koenig in [7]. To be precise, we prove the existence of the exact split pairs in $A$-Brauer algebras, cyclotomic Brauer algebras, and walled Brauer algebras with their respective input algebras. |
| title | Comparing cohomology via exact split pairs in diagram algebras |
| topic | Representation Theory 18E30, 20J05, 20C30, 16D40 |
| url | https://arxiv.org/abs/2502.13413 |