Geodesic
Description of groups generated by involutions of two-row Young tableaux
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 70-81 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Anatoly Vershik proposed a program for the systematic study of a class of groups generalizing the class of classical Coxeter groups, namely groups generated by natural involutions of standard Young tableaux and, more generally, by involutions of path spaces of some graphs. The author, solving the questions posed by Vershik, continues to study a series of groups for more complex Young diagrams. In this paper, significant results are obtained about the group corresponding to an arbitrary two-row diagram. 
@article{ZNSL_2022_517_a4,
     author = {M. V. Germanskov},
     title = {Description of groups generated by involutions of two-row {Young} tableaux},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {70--81},
     year = {2022},
     volume = {517},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a4/}
}
TY  - JOUR
AU  - M. V. Germanskov
TI  - Description of groups generated by involutions of two-row Young tableaux
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2022
SP  - 70
EP  - 81
VL  - 517
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a4/
LA  - ru
ID  - ZNSL_2022_517_a4
ER  - 
%0 Journal Article
%A M. V. Germanskov
%T Description of groups generated by involutions of two-row Young tableaux
%J Zapiski Nauchnykh Seminarov POMI
%D 2022
%P 70-81
%V 517
%U http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a4/
%G ru
%F ZNSL_2022_517_a4
M. V. Germanskov. Description of groups generated by involutions of two-row Young tableaux. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 70-81. http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a4/

[1] A. M. Vershik, N. V. Tsilevich, “Gruppy, porozhdennye involyutsiyami rombovidnykh grafov, i deformatsii ortogonalnoi formy Yunga”, Zap. nauchn. semin. POMI, 481, 2019

[2] A. M. Vershik, “Gruppy porozhdennye involyutsiyami, perechisleniya posetov i tsentralnye mery”, Uspekhi matem. nauk, 76:4 (2021), 143–144

[3] U. Fulton, Tablitsy Yunga i ikh prilozheniya k teorii predstavlenii i geometrii, MTsNMO, 2006

[4] R. Stenli, Perechislitelnaya kombinatorika, Mir, M., 1990