47 citations · 177 across the 33 of their papers we have counts for
30 papers · 1 filter
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…
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…
Special pure gradings on simple Lie algebras of types , ,
Cristina Draper, Alberto Elduque, Mikhail Kochetov
A group grading on a semisimple Lie algebra over an algebraically closed field of characteristic zero is special if its identity component is zero; it is pure if at least one of it…
Group gradings on classical Lie superalgebras
Caio De Naday Hornhardt, Mikhail Kochetov
We classify, up to isomorphism, the group gradings on the non-exceptional classical simple Lie superalgebras, except for type A(1,1), over an algebraically closed field of characte…
Generic graded contractions of Lie algebras
Mikhail V. Kochetov, Serhii D. Koval
We study generic graded contractions of Lie algebras from the perspectives of group cohomology, affine algebraic geometry and monoidal categories. We show that generic graded contr…
Group gradings on exceptional simple Lie superalgebras
Sebastiano Argenti, Mikhail Kochetov, Felipe Yasumura
We classify up to isomorphism the gradings by arbitrary groups on the exceptional classical simple Lie superalgebras , and over an algebraically closed fiel…