کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4583946 | 1630464 | 2016 | 50 صفحه PDF | دانلود رایگان |
We construct explicit Drinfel'd twists of Jordanian type for the generalized Cartan type K Lie algebras in characteristic 0 and obtain the corresponding quantizations, especially their integral forms. By making modular reductions including modulo p and modulo p -restrictedness reduction, and base changes, we derive certain modular quantizations of the restricted universal enveloping algebra u(K(2n+1;1_)) for the restricted simple Lie algebra of Cartan type K in characteristic p . They are new families of noncommutative and noncocommutative Hopf algebras of dimension pp2n+1+1pp2n+1+1 (if 2n+4≢0(modp)) or pp2n+1pp2n+1 (if 2n+4≡0(modp)) over a truncated p-polynomials ring, which also contain the well-known Radford algebras (see [20]) as Hopf subalgebras. Some open questions are proposed.
Journal: Journal of Algebra - Volume 450, 15 March 2016, Pages 102–151