Restricted Lie 2-algebras
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In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also construct restricted Lie 2-algebras from A(m)-algebras, restricted Leibniz algebras, restricted right-symmetric algebras. Finally, we prove that there is a one-to-one correspondence between strict restricted Lie 2-algebras and crossed modules of restricted Lie algebras.
KeywordsRestricted Lie 2-algebra crossed module of restricted Lie algebra A(m)-algebra restricted Leibniz algebra restricted right-symmetric algebra
MR(2010) Subject Classification17B50 55U15
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The authors would like to thank the referees for their careful reading and helpful comments and suggestions on this paper.
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