arXiv:1202.3972v2 [math.GR] 14 Dec 2012 Page 1 arXiv:1202.3972v2 [math.GR] 14 Dec 2012
SYMMETRY CLASSES OF TENSORS ASSOCIATED WITH THE SEMI-DIHEDRAL GROUPS …

On the existence of the orthogonal basis of the symmetry classes of tensors associated with
certain groups Page 1 SUT Journal of Mathematics Vol. 37, No. 1 (2001), 1{17 On the existence …

A note on the orthogonal basis of a certain full symmetry class of tensors Page 1 Linear
Algebra and its Applications 370 (2003) 369–374 www.elsevier.com/locate/laa A note on the …

Bulletin of the Iranian Mathematical Society Page 1 . Bulletin of the . Iranian Mathematical
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 40 (2014), No. 4, pp. 863–874 …

In this paper, we obtain the dimensions of symmetry classes of polynomials with respect to
the irreducible characters of the dicyclic group as a subgroup of the full symmetric group …

A necessary and sufficient condition for the existence of the orthogonal basis of
decomposable symmetrized tensors for the symmetry classes of tensors associated with …

A necessary condition is given for the existence of an O-basis for the symmetry classes of
tensors associated with a finite group and the irreducible constituents of the permutation …

‎ Let $ G_ {i} $ be a subgroup of $ S_ {m_ {i}}‎,‎\1\leq i\leq k $‎.‎ Suppose $\chi_ {i} $ is an
irreducible complex character of $ G_ {i} $‎.‎ We consider $ G_ {1}\times\cdots\times G_ {k} …

Let V be a unitary space. For an arbitrary subgroup G of the full symmetric group S m and an
arbitrary irreducible unitary representation Λ of G, we study the generalized symmetry class …

By Cayley's theorem, any finite group G of order n can be regarded as a subgroup of the
symmetric group $ n. Let χ be any irreducible complex character of G and let V n χ (G) …