Geodesic
Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

Voir la notice de l'article provenant de la source Episciences

We present a general diagrammatic approach to the construction of efficient algorithms for computingthe Fourier transform of a function on a finite group. By extending work which connects Bratteli diagrams to theconstruction of Fast Fourier Transform algorithms we make explicit use of the path algebra connection and work inthe setting of quivers. In this setting the complexity of an algorithm for computing a Fourier transform reduces to pathcounting in the Bratelli diagram, and we generalize Stanley's work on differential posets to provide such counts. Ourmethods give improved upper bounds for computing the Fourier transform for the general linear groups over finitefields, the classical Weyl groups, and homogeneous spaces of finite groups. 
@article{DMTCS_2020_special_379_a54,
     author = {Maslan, David and Rockmore, Daniel N. and Wolff, Sarah},
     title = {Separation of {Variables} and the {Computation} of {Fourier} {Transforms} on {Finite} {Groups,} {II}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6372},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6372/}
}
TY  - JOUR
AU  - Maslan, David
AU  - Rockmore, Daniel N.
AU  - Wolff, Sarah
TI  - Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II
JO  - Discrete mathematics & theoretical computer science
PY  - 2020
VL  - DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6372/
DO  - 10.46298/dmtcs.6372
LA  - en
ID  - DMTCS_2020_special_379_a54
ER  - 
%0 Journal Article
%A Maslan, David
%A Rockmore, Daniel N.
%A Wolff, Sarah
%T Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II
%J Discrete mathematics & theoretical computer science
%D 2020
%V DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6372/
%R 10.46298/dmtcs.6372
%G en
%F DMTCS_2020_special_379_a54
Maslan, David; Rockmore, Daniel N.; Wolff, Sarah. Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6372. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6372/

Cité par Sources :