CrossRef
Open Access
2019
6 sitasi
Cohomology of Modules Over -categories and Co--categories
Mamta Balodi
Abhishek Banerjee
Samarpita Ray
Abstrak
AbstractLet$H$be a Hopf algebra. We consider$H$-equivariant modules over a Hopf module category${\mathcal{C}}$as modules over the smash extension${\mathcal{C}}\#H$. We construct Grothendieck spectral sequences for the cohomologies as well as the$H$-locally finite cohomologies of these objects. We also introduce relative$({\mathcal{D}},H)$-Hopf modules over a Hopf comodule category${\mathcal{D}}$. These generalize relative$(A,H)$-Hopf modules over an$H$-comodule algebra$A$. We construct Grothendieck spectral sequences for their cohomologies by using their rational$\text{Hom}$objects and higher derived functors of coinvariants.
Penulis (3)
M
Mamta Balodi
A
Abhishek Banerjee
S
Samarpita Ray
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2019
- Bahasa
- en
- Total Sitasi
- 6×
- Sumber Database
- CrossRef
- DOI
- 10.4153/s0008414x19000403
- Akses
- Open Access ✓