Zobrazeno 1 - 10
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pro vyhledávání: '"M. Antónia Duffner"'
Autor:
M. Antónia Duffner, Rosário Fernandes
Publikováno v:
Linear and Multilinear Algebra. :1-16
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::198f27d0cde74c40d154d1e6e287a6af
https://doi.org/10.1080/03081087.2023.2172375
https://doi.org/10.1080/03081087.2023.2172375
Autor:
M. Antónia Duffner, Rosário Fernandes
Publikováno v:
The Electronic Journal of Linear Algebra. 32:76-97
Let $S_n$ denote the symmetric group of degree $n$ and $M_n$ denote the set of all $n$-by-$n$ matrices over the complex field, $\IC$. Let $\chi: S_n\rightarrow \IC$ be an irreducible character of degree greater than $1$ of $S_n$. The immanant $\dc: M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ebd18662eb630510f30cdf1cc7479bd
https://doi.org/10.13001/1081-3810.3190
https://doi.org/10.13001/1081-3810.3190
Publikováno v:
Linear Algebra and its Applications. 510:186-191
Let l , m 1 , m 2 , … m l ≥ 2 be positive integers. We describe some linear maps ϕ : M m 1 … m l ( F ) → M m 1 … m l ( F ) satisfying det ( ϕ ( A 1 ⊗ … ⊗ A l ) ) = det ( A 1 ⊗ … ⊗ A l ) , for all A k ∈ M m k ( F ) ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::882e796af547a8cb51c8d32bd55b008b
https://doi.org/10.1016/j.laa.2016.08.021
https://doi.org/10.1016/j.laa.2016.08.021
Publikováno v:
Linear Algebra and its Applications. 438:3654-3660
Let Mn(F) be the linear space of n-square matrices with elements in F where F is a field with at least n elements and whose characteristic is not 2. We prove that if n⩾3 there is no linear transformation T:Mn(F)→Mn(F) satisfying det(X)=0⇔per(T(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::371a666b4c99d42447dbf1f845e0c8c6
https://doi.org/10.1016/j.laa.2012.12.029
https://doi.org/10.1016/j.laa.2012.12.029
Publikováno v:
Linear Algebra and its Applications. 418(1):177-187
We generalize a result in [G. Dolinar, P. Semrl, Determinant preserving maps on matrix algebras, Linear Algebra Appl. 348 (2002) 189–192], proving that if χ and λ are arbitrary irreducible complex characters of Sn and T : Mn(C) → Mn(C) is a sur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c8899db42c2f3ac1d39ce705e968c23
Publikováno v:
Linear and Multilinear Algebra. 51:127-136
Let H n ( F ) be the space of n -square symmetric matrices over the field F . We generalize the main result of [M.H. Lim (1979). A note on the relation between the determinant and the permanent. Linear and Multilinear Algebra , 7 , 145-147], proving
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9272ea959f12b634fffa4e630e115aae
https://doi.org/10.1080/0308108031000114686
https://doi.org/10.1080/0308108031000114686
Publikováno v:
Special Matrices, Vol 2, Iss 1 (2014)
Letr Σn(C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d76e3b1df9225953cf3178fced4cc4c6
https://doi.org/10.2478/spma-2014-0001
https://doi.org/10.2478/spma-2014-0001
Publikováno v:
Linear and Multilinear Algebra. 48:383-408
Let n≥5 and let be an irreducible nonlinear character of Sn such that whenever σ is a transposition or a cycle of length three; furthermore let Tn be the (0, 1)-matrix of order n that has ones exactly on and below the upper neighbours of the main
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a814962f53a205e98175eefee4cd0540
https://doi.org/10.1080/03081080108818681
https://doi.org/10.1080/03081080108818681
Publikováno v:
ResearcherID
Let Q n ( C ) denote the space of the n -square skew-symmetric complex matrices and let χ be an irreducible nonlinear complex character of the symmetric group S n , with χ ≠ [ n - 1 , 1 ] , [ 2 , 1 n - 2 ] . We describe the linear operators of Q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b472dffe29e8cd994258ee56292442dc
Autor:
M. Antónia Duffner
Publikováno v:
Linear and Multilinear Algebra. 42:213-219
Let Sn be the symmectric group of degree n G a subgroup of Sn a field and λ and -valued character of G. We describe the singular matrices A that satisfy and if χ is an irreducible character of Sn , we describe the singular matrices A and B such tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be93779f7bdb8c73a87709de0eed4381
https://doi.org/10.1080/03081089708818500
https://doi.org/10.1080/03081089708818500