Year 2008,
Volume: 4 Issue: 4, 177 - 188, 01.12.2008
Abstract
Let π be a group and let H = {Hα}α∈π be a Hopf π-coalgebra in the sense of Turaev . Let H act weakly on an algebra A and σ : H1⊗H1 → Aa k-linear map. Then we first introduce the notion of a π-crossed product A#πσH = {A#σHα}α∈π and find some sufficient and necessary conditions
under which each A#σHα forms an algebra. Next we define a comultiplication, a counit and an antipode on A#πσH making it into a Hopf π-coalgebra. Finally, we obtain the duality theorem of π-crossed product A#πσH, generalizing Corollary 5.8 in the authors’ paper.
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Details
| Other ID | JA89NJ98ZA |
|---|---|
| Authors | |
| Publication Date | December 1, 2008 |
| Published in Issue | Year 2008 Volume: 4 Issue: 4 |