Generalized symmetry classes of tensors

Gholamreza Rafatneshan; Yousef Zamani

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 4, page 921-933
  • ISSN: 0011-4642

Abstract

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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 of tensors over V associated with G and Λ . Some important properties of this vector space are investigated.

How to cite

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Rafatneshan, Gholamreza, and Zamani, Yousef. "Generalized symmetry classes of tensors." Czechoslovak Mathematical Journal 70.4 (2020): 921-933. <http://eudml.org/doc/297288>.

@article{Rafatneshan2020,
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.},
author = {Rafatneshan, Gholamreza, Zamani, Yousef},
journal = {Czechoslovak Mathematical Journal},
keywords = {irreducible character; generalized Schur function; orthogonal basis; symmetry class of tensors},
language = {eng},
number = {4},
pages = {921-933},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized symmetry classes of tensors},
url = {http://eudml.org/doc/297288},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Rafatneshan, Gholamreza
AU - Zamani, Yousef
TI - Generalized symmetry classes of tensors
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 921
EP - 933
AB - 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.
LA - eng
KW - irreducible character; generalized Schur function; orthogonal basis; symmetry class of tensors
UR - http://eudml.org/doc/297288
ER -

References

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