On the Computation of Group Characters

On the Restriction of Characters of Special Linear Groups of Dimension Three

Stability of Kronecker Products of Irreducible Characters of the Symmetric Group

F. Murnaghan observed a long time ago that the computation of the decompositon of the Kronecker product χ(n−a,λ2,... ) ⊗ χ(n−b,μ2,... ) of two irreducible characters of the symmetric group into irreducibles depends only on λ = (λ2, . . . ) and μ = (μ2, . . . ), but not on n. In this note we prove a similar result: given three partitions λ, μ, ν of n we obtain a lower bound on n, depending on λ,...

Taxonomic Relationships of Ten Fritillaria Species of Subgenera Fritillaria and Theresia Based on Analysis of Flower Qualitative and Quantitative Morphological Characters

Flower morphology of 10 Fritillaria species of subgenera Theresia and Fritillaria growing wild in Iran is studied using seventy morphological characters. Qualitative and quantitative datasets separated taxa into subgenera, sectional and groups. Three enigmatic species F. caucasica, F. zagrica (endemic to Zagros Mountains) and F. pinardii (recently reported from Zagros Mountains) appeared as clo...

Population diversity and sexual dimorphism of Alburnus chalcoides Gueldenstaedt, 1772 in southern coast of the Caspian Sea

The aim of this study was the identification of morphometric and meristic characters and their diversity between males and females of Alburnus chalcoides in southern coast of the Caspian Sea in 2019. 160 specimens were caught randomly in 8 rivers leading to the Caspian Sea on the coast of Gilan (Anzali Wetland, Sefidrood River Basin, Allah Rud) and Mazandaran (Chalkroud, Cheshmeh Kileh, Mianrou...

Considering the Effect of Oxygen Group on the Magnetic Properties of Reduced Graphene oxides (RGOs)

Improved magnetic characters of graphene oxides besides its unique biocompatibility make this compound as a theranostics agent could be so practical in the medicine fields. Oxygen functionalities with disturbing the symmetry of graphene sublattices could induce magnetic moments and improve magnetic properties in these structures­. While that, vacancies and distortions, created by oxygen release...