Quantum deformations of certain prehomogeneous vector spaces. II
Quantum deformations of certain prehomogeneous vector spaces. II
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某些预均匀向量空间的量子变形。
DOI：
10.18910/4931
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Y. Morita
中科院分区：
文献类型：
--
作者：
Y. Morita
令G为复数字段C上的一个降低代数组，让0为lie代数。 of 0。c（q）上的hopf代数£7^（0）和aq（g）倾向于普通编码代数£7（0）和坐标代数a（g）当参数q趋于1 in一个某些意义（Drinfeld [1]，Jimbo [3]），让我们认为我们应该将哪种对象视为具有G-action的仿射品种的量子变形。如果其坐标代数A（x）配备了正确的A（g）模块结构
Let G be a reductive algebraic group over the complex number field C and let 0 be its Lie algebra. The quantized coordinate algebra Aq(G) of G is constructed as a certain dual Hopf algebra of the quantized enveloping algebra £7^(0) of 0. The Hopf algebras £7^(0) and Aq(G) over C(q) tend to the ordinary enveloping algebra £7(0) and the coordinate algebra A(G) respectively when the parameter q tends to 1 in a certain sense (Drinfeld [1], Jimbo [3]). Let us consider what object we should regard as a quantum deformation of an affine variety X with G-action. An affine variety X is endowed with an action of G if and only if its coordinate algebra A(X) is equipped with a right A(G)-comodule structure
影响因子：
0.5
作者：
M. Hashimoto;T. Hayashi
通讯作者：
M. Hashimoto;T. Hayashi