Czechoslovak Mathematical Journal, first online, pp. 1-13
Generalized symmetry classes of tensors
Gholamreza Rafatneshan, Yousef Zamani
Received January 29, 2019. Published online July 8, 2020.
Abstract: Let $V$ be a unitary space. For an arbitrary subgroup $G$ of the full symmetric group $S_m$ and an arbitrary irreducible unitary representation $\Lambda$ of $G$, we study the generalized symmetry class of tensors over $V$ associated with $G$ and $\Lambda$. Some important properties of this vector space are investigated.
Keywords: irreducible character; generalized Schur function; orthogonal basis; symmetry class of tensors
Affiliations: Gholamreza Rafatneshan, Yousef Zamani (corresponding author), Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, P.O.Box 51335/1996, Sahand New Town, Tabriz, East Azerbaijan, Iran, e-mail: firstname.lastname@example.org, email@example.com