zbMATH — the first resource for mathematics

Symmetry classes of tensors associated with Young subgroups. (English) Zbl 1211.15034
The aim of this article is to study symmetry classes of tensors associated with Young subgroups of the symmetric group. The dimension as well as \(*\)-bases of these types of symmetry classes is discussed.

15A72 Vector and tensor algebra, theory of invariants
20C30 Representations of finite symmetric groups
Full Text: DOI
[1] DOI: 10.1016/j.laa.2004.07.020 · Zbl 1072.15037 · doi:10.1016/j.laa.2004.07.020
[2] Isaacs M., Character theory of finite groups (1976) · Zbl 0337.20005
[3] James G. D., Lecture notes in Math., in: The representation theory of the symmetric group (1978) · doi:10.1007/BFb0067708
[4] Merris R., Multilinear algebra (1997)
[5] DOI: 10.1006/jabr.1999.7932 · Zbl 0935.15024 · doi:10.1006/jabr.1999.7932
[6] Zamani Y., Pure Mathematics and Appl. 18 pp 357–
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.