Local Central Λ(p) Dual Objects
Canadian mathematical bulletin, Tome 20 (1977) no. 4, p. 515
Voir la notice de l'article provenant de la source Cambridge University Press
The dual object T of a compact group is called a local central A(p) set if there is a constant K such that ‖X‖P < K ‖X‖1 for all irreducible characters X of G. For each γ∊Γ, Dr is an irreducible representation of G of dimension dγ. Several authors [1, 2, 3, 4] have observed that Γ is a local central Λ(p) set for p<l provided sup{dγ:γ∊Γ}>∞, and some of them [2, 3] conjectured the converse. Cecchini [1] showed that Γ is not a local central Λ(4) set if G is a compact Lie group.
Parker, Willard A. Local Central Λ(p) Dual Objects. Canadian mathematical bulletin, Tome 20 (1977) no. 4, p. 515. doi: 10.4153/CMB-1977-079-x
@article{10_4153_CMB_1977_079_x,
author = {Parker, Willard A.},
title = {Local {Central} {\ensuremath{\Lambda}(p)} {Dual} {Objects}},
journal = {Canadian mathematical bulletin},
pages = {515--515},
year = {1977},
volume = {20},
number = {4},
doi = {10.4153/CMB-1977-079-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-079-x/}
}
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[4] 4. Daniel, Rider, Norms of characters and central Λ sets for U(n), Springer Lecture Notes #266 (1971 Maryland Conference), pp. 287-294. Google Scholar
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