In this paper, we first introduce various cohomology theories and their relationship with Galois group representations. Then, we present a method that naturally associates certain Galois group representations with Hodge-Tate weights greater than one to representations with lower weights, and under certain conditions, to representations with weights zero and one. More precisely, we prove the existence of a fully faithful functor from the category of graded sparse regular representations with good prismatic reduction of the Galois group to the category of graded representations with good prismatic reduction and weights zero and one.
Partofard,A and Hedayatzadeh Razavi,S M H . (2025). Cohomology theories and changing the weight of Galios representations. (e464). Mathematical Culture and Thought, (), e464 doi: 10.30504/mct.2025.1539.2080
MLA
Partofard,A , and Hedayatzadeh Razavi,S M H . "Cohomology theories and changing the weight of Galios representations" .e464 , Mathematical Culture and Thought, , , 2025, e464. doi: 10.30504/mct.2025.1539.2080
HARVARD
Partofard A, Hedayatzadeh Razavi S M H. (2025). 'Cohomology theories and changing the weight of Galios representations', Mathematical Culture and Thought, (), e464. doi: 10.30504/mct.2025.1539.2080
CHICAGO
A Partofard and S M H Hedayatzadeh Razavi, "Cohomology theories and changing the weight of Galios representations," Mathematical Culture and Thought, (2025): e464, doi: 10.30504/mct.2025.1539.2080
VANCOUVER
Partofard A, Hedayatzadeh Razavi S M H. Cohomology theories and changing the weight of Galios representations. An Expository Journal of the Iranian Mathematical Society. 2025;():e464 (In Persian). doi: 10.30504/mct.2025.1539.2080
