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Symmetry Classes of Functions

โœ Scribed by N. Metropolis; G.C. Rota; J.A. Stein


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
848 KB
Volume
171
Category
Article
ISSN
0021-8693

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The dimensions of the symmetry classes of tensors associated with the product of cyclic subgroups of the symmetric group are explicitly given in terms of the Ramanujan sum. It can also be expressed as the Euler -function and the Mobius ลฝ . function. The results of a paper of Cummings 1976, J. Algebr

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an orthonormal basis of V. Suppose G is a permutation group of degree m and ลฝ . is an irreducible character of G. We denote by V G the symmetry class of tensors associated with G and . In this article, we discuss the problem of existing ลฝ . U orthogonal bases for V G consisting of symmetrized decom