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Supercharacters, symmetric functions in noncommuting variables (extended abstract)
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) (2011) Cet article a éte moissonné depuis la source Episciences

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We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables. Each is a Hopf algebra and the two are isomorphic as such. This allows developments in each to be transferred. The identification suggests a rich class of examples for the emerging field of combinatorial Hopf algebras. 
@article{DMTCS_2011_special_260_a80,
     author = {Aguiar, Marcelo and Andr\'e, Carlos and Benedetti, Carolina and Bergeron, Nantel and Chen, Zhi and Diaconis, Persi and Hendrickson, Anders and Hsiao, Samuel and Isaacs, I. Martin and Jedwab, Andrea and Johnson, Kenneth and Karaali, Gizem and Lauve, Aaron and Le, Tung and Lewis, Stephen and Li, Huilan and Magaard, Kay and Marberg, Eric and Novelli, Jean-Christophe and Pang, Amy and Saliola, Franco and Tevlin, Lenny and Thibon, Jean-Yves and Thiem, Nathaniel and Venkateswaran, Vidya and Vinroot, C. Ryan and Yan, Ning and Zabrocki, Mike},
     title = {Supercharacters, symmetric functions in noncommuting variables (extended abstract)},
     journal = {Discrete mathematics & theoretical computer science},
     year = {2011},
     volume = {DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)},
     doi = {10.46298/dmtcs.2967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2967/}
}
TY  - JOUR
AU  - Aguiar, Marcelo
AU  - André, Carlos
AU  - Benedetti, Carolina
AU  - Bergeron, Nantel
AU  - Chen, Zhi
AU  - Diaconis, Persi
AU  - Hendrickson, Anders
AU  - Hsiao, Samuel
AU  - Isaacs, I. Martin
AU  - Jedwab, Andrea
AU  - Johnson, Kenneth
AU  - Karaali, Gizem
AU  - Lauve, Aaron
AU  - Le, Tung
AU  - Lewis, Stephen
AU  - Li, Huilan
AU  - Magaard, Kay
AU  - Marberg, Eric
AU  - Novelli, Jean-Christophe
AU  - Pang, Amy
AU  - Saliola, Franco
AU  - Tevlin, Lenny
AU  - Thibon, Jean-Yves
AU  - Thiem, Nathaniel
AU  - Venkateswaran, Vidya
AU  - Vinroot, C. Ryan
AU  - Yan, Ning
AU  - Zabrocki, Mike
TI  - Supercharacters, symmetric functions in noncommuting variables (extended abstract)
JO  - Discrete mathematics & theoretical computer science
PY  - 2011
VL  - DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2967/
DO  - 10.46298/dmtcs.2967
LA  - en
ID  - DMTCS_2011_special_260_a80
ER  - 
%0 Journal Article
%A Aguiar, Marcelo
%A André, Carlos
%A Benedetti, Carolina
%A Bergeron, Nantel
%A Chen, Zhi
%A Diaconis, Persi
%A Hendrickson, Anders
%A Hsiao, Samuel
%A Isaacs, I. Martin
%A Jedwab, Andrea
%A Johnson, Kenneth
%A Karaali, Gizem
%A Lauve, Aaron
%A Le, Tung
%A Lewis, Stephen
%A Li, Huilan
%A Magaard, Kay
%A Marberg, Eric
%A Novelli, Jean-Christophe
%A Pang, Amy
%A Saliola, Franco
%A Tevlin, Lenny
%A Thibon, Jean-Yves
%A Thiem, Nathaniel
%A Venkateswaran, Vidya
%A Vinroot, C. Ryan
%A Yan, Ning
%A Zabrocki, Mike
%T Supercharacters, symmetric functions in noncommuting variables (extended abstract)
%J Discrete mathematics & theoretical computer science
%D 2011
%V DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2967/
%R 10.46298/dmtcs.2967
%G en
%F DMTCS_2011_special_260_a80
Aguiar, Marcelo; André, Carlos; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean-Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean-Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike. Supercharacters, symmetric functions in noncommuting variables (extended abstract). Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) (2011). doi: 10.46298/dmtcs.2967

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