论文信息 - Pointed Hopf Algebras of Discrete Corepresentation Type

Pointed Hopf Algebras of Discrete Corepresentation Type

. We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed ﬁeld K with characteristic zero. For such algebras H , we explicitly determine the algebra structure up to isomorphism for the link indecomposable component B containing the unit. It turns out that H is a crossed product of B and a certain group algebra.

M. Iovanov | Emre Sen | A. Sistko | Shijie Zhu

[1] M. Iovanov. Infinite dimensional serial algebras and their representations , 2018, Journal of Algebra.

[2] M. Iovanov,et al. Quiver algebras, path coalgebras and coreflexivity , 2012, 1208.4410.

[3] M. Iovanov,et al. Path subcoalgebras, finiteness properties and quantum groups , 2010, 1012.4335.

[4] D. Simson. Incidence coalgebras of intervally finite posets, their integral quadratic forms and comodule categories , 2009 .

[5] G. Navarro,et al. PRIME PATH COALGEBRAS , 2008, 0802.0692.

[6] Fang Li,et al. Pointed hopf algebras of finite corepresentation type and their classifications , 2006 .

[7] Pu Zhang,et al. Monomial Hopf algebras , 2003, math/0308023.

[8] M. Kleiner,et al. Almost Split Sequences for Comodules , 2002 .

[9] S. Raianu,et al. Hopf algebras : an introduction , 2001 .

[10] L. Kadison. New Examples of Frobenius Extensions , 1999 .

[11] S. Montgomery. Indecomposable coalgebras, simple comodules, and pointed Hopf algebras , 1995 .

[12] Susan Montgomery,et al. Hopf algebras and their actions on rings , 1993 .