On the representation dimension of smash products

Let A be a finite dimensional algebra graded by a finite group, and let Γ be the corresponding smash product. We prove that if A is separably graded, then the representation dimension of Γ is at least the Oppermann dimension of A plus two; if A is in addition self-injective, then the representation...

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Veröffentlicht in:	Advances in applied Clifford algebras 2017-09, Vol.27 (3), p.2885-2897
Hauptverfasser:	Zheng, Lijing, Huang, Chonghui, Wan, Qianhong
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Mathematical Methods in Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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