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On the symmetry classes of functions

โœ Scribed by Zhu Ping; Fan Yun


Publisher
Wuhan University
Year
2005
Tongue
English
Weight
317 KB
Volume
10
Category
Article
ISSN
1007-1202

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๐Ÿ“œ SIMILAR VOLUMES


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Notes on Cartesian symmetry classes and
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In this paper we discuss the properties of generalized trace functions of a matrix, symmetrizers on a Cartesian product space of vectors and induced operators on a Cartesian symmetry class.

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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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โœ Marvin Marcus; Henryk Minc ๐Ÿ“‚ Article ๐Ÿ“… 1967 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 551 KB
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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

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A necessary and sufficient condition for the existence of the orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with dicyclic group and dihedral group were studied by M. R. Darafsheh and M. R. ลฝ . Pournaki in press, Linear and Multilinear Algebra an