Classification of Finite Group-Frames and Super-Frames
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 85-96
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Given a finite group $G$ , we examine the classification of all frame representations of $G$ and the classification of all $G$ -frames, i.e., frames induced by group representations of $G$ . We show that the exact number of equivalence classes of $G$ -frames and the exact number of frame representations can be explicitly calculated. We also discuss how to calculate the largest number $L$ such that there exists an $L$ -tuple of strongly disjoint $G$ -frames.
Mots-clés :
42C15, 46C05, 47B10, frames, group-frames, frame representations, disjoint frames
Han, Deguang. Classification of Finite Group-Frames and Super-Frames. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 85-96. doi: 10.4153/CMB-2007-008-9
@article{10_4153_CMB_2007_008_9,
author = {Han, Deguang},
title = {Classification of {Finite} {Group-Frames} and {Super-Frames}},
journal = {Canadian mathematical bulletin},
pages = {85--96},
year = {2007},
volume = {50},
number = {1},
doi = {10.4153/CMB-2007-008-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-008-9/}
}
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