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RESEARCH PRODUCT

Abelian gradings on upper-triangular matrices

Mikhail ZaicevA. Valenti

subject

CombinatoricsTorsion subgroupG-moduleGeneral MathematicsElementary abelian groupAbelian categoryAbelian groupRank of an abelian groupFree abelian groupArithmetic of abelian varietiesMathematics

description

Let G be an arbitrary finite abelian group. We describe all possible G-gradings on an upper-triangular matrix algebra over an algebraically closed field of characteristic zero.

https://doi.org/10.1007/s000130300001