RELATIONSHIP BETWEEN GRAPHS AND NICHOLS BRAIDED LIE ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Braided m-Lie Algebras
Braided m-Lie algebras induced by multiplication are introduced, which generalize Lie algebras, Lie color algebras and quantum Lie algebras. The necessary and sufficient conditions for the braided m-Lie algebras to be strict Jacobi braided Lie algebras are given. Two classes of braided m-Lie algebras are given, which are generalized matrix braided m-Lie algebras and braided m-Lie subalgebras of...
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We obtain an R-matrix or matrix representation of the Artin braid group acting in a canonical way on the vector space of every (super)-Lie algebra or braided-Lie algebra. The same result applies for every (super)-Hopf algebra or braided-Hopf algebra. We recover some known representations such as those associated to racks. We also obtain new representations such as a non-trivial one on the ring ...
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ژورنال
عنوان ژورنال: Far East Journal of Mathematical Sciences (FJMS)
سال: 2019
ISSN: 0972-0871
DOI: 10.17654/ms115020137