Abstract
In the paper, the representation rings (or the Green rings) for a family of Hopf algebras of tame type, the 2-rank Taft algebra (at q = - 1) and its two relatives twisted by 2-cocycles are explicitly described via a representation theoretic analysis. It turns out that the Green rings can serve to detect effectively the twist-equivalent Hopf algebras here.
| Original language | English |
|---|---|
| Pages (from-to) | 1-35 |
| Number of pages | 35 |
| Journal | Journal of Algebra |
| Volume | 410 |
| DOIs | |
| State | Published - 15 Jul 2014 |
Keywords
- Green ring
- Jacobson radical
- N-Rank Taft algebra
- Projective class algebra
- Twist-equivalent