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math.RA2026
Gradings by cyclic groups on classical simple Lie algebras in prime characteristics
Mikhail Kochetov, Vishal Yadav
We classify, up to isomorphism, gradings by finite cyclic groups on classical simple Lie algebras over an algebraically closed field of arbitrary characteristic. Usi…
math.RA2026
Direct limits of graded matrix algebras
Mikhail Kochetov, Felipe Yasumura
The direct limit of finite-dimensional semisimple associative algebras arises as a purely algebraic counterpart to important -algebras. In this paper, we classify direct li…