摘要
拟三角Ｈｏｐｆ代数Ｈ的（左）模范畴ＨＭ与辫化Ｈｏｐｆ代数Ｈ＇的（右）余模范畴ＭＨ＇都是辫化单式范畴，考虑其中的量子交换代数Ａ，Ｍ．Ｃｏｈｅｎ等证明相应Ｓｍａｓｈ积代数Ａ＃Ｈ的模范畴Ａ＃ＨＭ是一个单式范畴．本文考虑一种对偶情形，设Ａ是Ｈ＇－交换代数，则（Ａ，Ｈ＇）－Ｈｏｐｆ模范畴是单式范畴．
The category H_M of (left) modules over a quasitriangular Hopf algebra H and the category M￣H' of (right) H'-comodules over a braided Hopf algebra H' are typical examples of braided monoidal categories. M. Cohen et al. showed that the category (A#H)_M of (left) modules over the smash product algebra A # H associated to a quantum commutative algebra A in H_M is monoidal. we examine a dual situation, that is, a quantum commutativealgebra A in M￣H', and show that the category of relative [A, H']-Hopf modules is monoidal.
出处
《湖南师范大学自然科学学报》
CAS
1996年第1期13-16,共4页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金
关键词
单式范畴
相对郝普夫模
量子交换模代数
monoidal category
quantum commutative comodule algebras
relativeHopf modules
