Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$

• Autorzy: Mahdi Hormozi , Kijti Rodtes
• Języki publikacji: EN

Abstrakty

EN

We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $SD_{8n}$. In particular, a necessary and sufficient condition for the existence of such a basis associated with $SD_{8n}$ and degree two characters is given.

Kategorie tematyczne

• 20C30: Representations of finite symmetric groups
• 15A69: Multilinear algebra, tensor products

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 131
• Numer: 1
• Strony: 59-67

Daty

wydano

2013

Twórcy

autor

Mahdi Hormozi

• Department of Mathematical Sciences, Division of Mathematics, Chalmers University of Technology, and University of Gothenburg, Gothenburg 41296, Sweden

autor

Kijti Rodtes

• Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Identyfikatory

DOI

10.4064/cm131-1-6