Abstract
<abstract><p>In this paper, all simple Yetter-Drinfeld modules and indecomposable projective Yetter-Drinfeld modules over a family of non-pointed $ 8m $-dimension Hopf algebras of tame type with rank two, are construted and classified. The technique is Radford's method of constructing Yetter-Drinfeld modules over a Hopf algebra. Furthermore, the projective class rings of the category of Yetter-Drinfeld modules over this class of Hopf algebras are described explicitly by generators and relations.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference26 articles.
1. D. N. Yetter, Quantum groups and representations of monoidal categories, Math. Proc. Cambridge, 108 (1990), 261–290. http://doi.org/10.1017/S0305004100069139
2. C. Kassel, Quantum groups, New York: Springer, 1995. https://doi.org/10.1007/978-1-4612-0783-2
3. N. Andruskiewitsch, H. J. Schneider, Lifting of quantum linear spaces and pointed Hopf algebras of order$p^3$, J. Algebra, 209 (1998), 658–691. http://doi.org/10.1006/jabr.1998.7643
4. N. Andruskiewitsch, H. J. Schneider, Finite quantum groups and Cartan matrices, Adv. Math., 154 (2000), 1–45. http://doi.org/10.1006/aima.1999.1880
5. N. Andruskiewitsch, H. J. Schneider, Pointed Hopf algebras, In: New Directions in Hopf algebras, Cambridge: Cambridge University Press, 2002, 1–68.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献