|
|
| |
| Hopf Superquivers |
| |
Citation： |
Hongchang DONG,Hualin HUANG.Hopf Superquivers[J].Chinese Annals of Mathematics B,2011,32(2):253~264 |
| Page view： 1682
Net amount： 1205 |
Authors： |
Hongchang DONG; Hualin HUANG; |
Foundation： |
the National Natural Science Foundation of China (No. 10601052) and the Shandong
Provincial Natural Science Foundation of China (Nos. YZ2008A05, 2009ZRA01128). |
|
|
| Abstract： |
In this paper, a super version of the Hopf quiver theory is developed. The
notion of Hopf superquivers is introduced. It is shown that only the path supercoalgebras
of Hopf superquivers admit graded Hopf superalgebra structures. A complete classification
of such graded Hopf superalgebras is given. A superquiver setting for general pointed Hopf
superalgebras is also built up. In particular, a super version of the Gabriel type theorem
and the Cartier-Gabriel decomposition theorem is given. |
Keywords： |
Hopf superalgebra, Superquiver, Path supercoalgebra |
Classification： |
16W30, 17A70, 16G20 |
|
|
Download PDF Full-Text
|
|
|
|
