Geodesic
Noncommutative Sylvester's determinantal identity
The electronic journal of combinatorics, Tome 14 (2007)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Sylvester's identity is a classical determinantal identity with a simple linear algebra proof. We present combinatorial proofs of several non-commutative extensions, and find a $\beta$-extension that is both a generalization of Sylvester's identity and the $\beta$-extension of the quantum MacMahon master theorem.
DOI : 10.37236/960
Classification : 05A30, 15A15
Mots-clés : quantum MacMahon master theorem 
@article{10_37236_960,
     author = {Matja\v{z} Konvalinka},
     title = {Noncommutative {Sylvester's} determinantal identity},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/960},
     zbl = {1121.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/960/}
}
TY  - JOUR
AU  - Matjaž Konvalinka
TI  - Noncommutative Sylvester's determinantal identity
JO  - The electronic journal of combinatorics
PY  - 2007
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.37236/960/
DO  - 10.37236/960
ID  - 10_37236_960
ER  - 
%0 Journal Article
%A Matjaž Konvalinka
%T Noncommutative Sylvester's determinantal identity
%J The electronic journal of combinatorics
%D 2007
%V 14
%U http://geodesic.mathdoc.fr/articles/10.37236/960/
%R 10.37236/960
%F 10_37236_960
Matjaž Konvalinka. Noncommutative Sylvester's determinantal identity. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/960

Cité par Sources :