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math.RT2016★ 2 cited
Gradings on modules over Lie algebras of E types
Cristina Draper, Alberto Elduque, Mikhail Kochetov
For any grading by an abelian group on the exceptional simple Lie algebra of type or over an algebraically closed field of characteristic zero, we com…
math.RT2016
Graded simple modules and loop modules
Alberto Elduque, Mikhail Kochetov
Necessary and sufficient conditions are given for a -graded simple module over a unital associative algebra, graded by an abelian group , to be isomorphic to a loop module of…
math.RT2013★ 17 cited
Graded modules over classical simple Lie algebras with a grading
Alberto Elduque, Mikhail Kochetov
Given a grading by an abelian group G on a semisimple Lie algebra L over an algebraically closed field of characteristic 0, we classify up to isomorphism the simple objects in the…