Entwined modules over representations of categories
A Banerjee - Algebras and Representation Theory, 2023 - Springer
We introduce a theory of modules over a representation of a small category taking values in
entwining structures over a semiperfect coalgebra. This takes forward the aim of developing …
entwining structures over a semiperfect coalgebra. This takes forward the aim of developing …
Entwined modules over linear categories and Galois extensions
In this paper, we study modules over quotient spaces of certain categorified fiber bundles.
These are understood as modules over entwining structures involving a small K-linear …
These are understood as modules over entwining structures involving a small K-linear …
Weak comp algebras and cup products in secondary Hochschild cohomology of entwining structures
M Balodi, A Banerjee, A Naolekar - arXiv preprint arXiv:1909.05476, 2019 - arxiv.org
We define the secondary Hochschild complex for an entwining structure over a commutative
$ k $-algebra $ B $. We show that this complex carries the structure of a weak comp algebra …
$ k $-algebra $ B $. We show that this complex carries the structure of a weak comp algebra …
Cyclic cohomology of entwining structures
M Balodi, A Banerjee - arXiv preprint arXiv:2003.07046, 2020 - arxiv.org
In this paper, we introduce and study a cyclic cohomology theory $ H^\bullet_\lambda (A,
C,\psi) $ for an entwining structure $(A, C,\psi) $ over a field $ k $. We then provide a …
C,\psi) $ for an entwining structure $(A, C,\psi) $ over a field $ k $. We then provide a …