@inbook{17903c15393540549928c6ab2951b334,
title = "Modular quantizations of lie algebras of cartan type H via drinfel{\textquoteright}d twists",
abstract = "We construct explicit Drinfel{\textquoteright}d twists for the Lie algebras of generalized Cartan type H in characteristic 0 and also obtain the corresponding quantizations and their integral forms. By using modular reduction and base changes, we derive certain quantizations of the restricted universal enveloping algebra u(H(2n; 1)) of the restricted Hamiltonian algebra H(2n; 1) in prime characteristic p. These quantizations are new non-pointed Hopf algebras of prime-power dimension pp2n−1 and contain the well-known Radford algebras as Hopf subalgebras. As a by-product we also obtain some Jordanian quantizations of sp2n.",
keywords = "Drinfel{\textquoteright}d twist, Hopf algebra of prime-power dimension, Lie algebra of generalized Cartan type H, Lie bialgebra, Modular quantization, R-matrix, Restricted Hamiltonian algebra",
author = "Zhaojia Tong and Naihong Hu and Xiuling Wang",
note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",
year = "2015",
doi = "10.1090/conm/652/12980",
language = "英语",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "173--206",
booktitle = "Contemporary Mathematics",
address = "美国",
}