Geodesic
On the Conversion of the Determinant into the Permanent
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 31-34

Voir la notice de l'article provenant de la source Cambridge University Press

Let Mm(F) be the vector space of m - square matrices over a field F. If X belongs to Mm(F), then xij will denote the element occuring in row i and column j of X.Let S m be the symmetric group of degree m and ε: S m → F the alternating character on Sm (i.e. ε(σ) = 1 or - 1 according as σ is an even or odd permutation). 
Botta, Peter. On the Conversion of the Determinant into the Permanent. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 31-34. doi: 10.4153/CMB-1968-004-6
@article{10_4153_CMB_1968_004_6,
     author = {Botta, Peter},
     title = {On the {Conversion} of the {Determinant} into the {Permanent}},
     journal = {Canadian mathematical bulletin},
     pages = {31--34},
     year = {1968},
     volume = {11},
     number = {1},
     doi = {10.4153/CMB-1968-004-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-004-6/}
}
TY  - JOUR
AU  - Botta, Peter
TI  - On the Conversion of the Determinant into the Permanent
JO  - Canadian mathematical bulletin
PY  - 1968
SP  - 31
EP  - 34
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-004-6/
DO  - 10.4153/CMB-1968-004-6
ID  - 10_4153_CMB_1968_004_6
ER  - 
%0 Journal Article
%A Botta, Peter
%T On the Conversion of the Determinant into the Permanent
%J Canadian mathematical bulletin
%D 1968
%P 31-34
%V 11
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-004-6/
%R 10.4153/CMB-1968-004-6
%F 10_4153_CMB_1968_004_6

[1] 1. Botta, Peter, Linear Transformations that preserve the Permanent, to appear in Proc. Amer. Math. Soc. Google Scholar

[2] 2. Marcus, M., Linear Operations on Matrices, Amer. Math. Monthly, 69 (1962), 837-847.10.1080/00029890.1962.11989991 Google Scholar

[3] 3. Marcus, M. and May, F., The Permanent Function, Canad. J. Math. 14 (1962), 177-189.10.4153/CJM-1962-013-4 Google Scholar

[4] 4. Marcus, M. and Mine, H., On the Relation between the Permanent and the Determinant, Illinois J. Math., 5 (1961), 376-381.10.1215/ijm/1255630882 Google Scholar

[5] 5. Marcus, M. and Moyls, B.N., Linear Transformations on Algebras of Matrices, Canad. J. Math., 11(1959), 61-66.10.4153/CJM-1959-008-0 Google Scholar

[6] 6. Polya, G., Aufgabe 424, Arch. Math. u. Phys., 20, p. 271. Google Scholar

Cité par Sources :