The Green rings of the 2-rank Taft algebra and its two relatives twisted
| Autor: | Li, Yunnan, Hu, Naihong |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of Algebra, 410 (2014), p. 1--35 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2014.04.006 |
| Popis: | 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. Comment: J. Algebra (to appear), 34 pages (revised the noncommutativity of Green ring of 2-rank Taft algebra \bar A, rewrote the proofs of Jacobson radicals of the three Green algebras, added some remarks and updated references, etc.) |
| Databáze: | arXiv |
| Externí odkaz: |
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