@article{ZNSL_2023_528_a6,
author = {M. Germanskov},
title = {Classification of groups generated by involutions of two-row {Young} tableaux},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {107--115},
year = {2023},
volume = {528},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_528_a6/}
}
M. Germanskov. Classification of groups generated by involutions of two-row Young tableaux. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 107-115. http://geodesic.mathdoc.fr/item/ZNSL_2023_528_a6/
[1] A. Bender, D. Knuth, “Enumeration of plane partitions”, J. Comb. Th. A, 13 (1972), 40–54
[2] A. N. Kirillov, A. D. Berenstein, “Groups generated by involutions, Gelfand–Tsetlin patterns, and combinatorics of Young tableaux”, Algebra i Analiz, 7:1 (1995), 92–152
[3] Judy Hsin-Hui Chiang, Anh Trong Nam Hoang, Matthew Kendall, Ryan Lynch, Son Nguyen, Benjamin Przybocki, Janabel Xia, Bender–Knuth involutions on linear extensions of posets, arXiv: 2302.12425 | DOI
[4] U. Fulton, Tablitsy Yunga i ikh prilozheniya k teorii predstavlenii i geometrii, MTsNMO, 2006
[5] M. V. Germanskov, “Opisanie grupp, porozhdennykh involyutsiyami dvukhstrochechnykh tablits Yunga”, Zap. nauchn. semin. POMI, 517, 2022, 70–81
[6] P. A. Pozdeev, “Prosteishie diagrammy Yunga i gruppy, porozhdennye ikh tablitsami”, Zap. nauchn. semin. POMI, 517, 2022, 151–161
[7] R. Stenli, Perechislitelnaya kombinatorika, Izdatelstvo “Mir”, 1990
[8] A. M. Vershik, N. V. Tsilevich, “Gruppy, porozhdennye involyutsiyami rombovidnykh grafov, i deformatsii ortogonalnoi formy Yunga”, Zap. nauchn. semin. POMI, 481, 2019
[9] A. M. Vershik, “Gruppy porozhdennye involyutsiyami, perechisleniya posetov i tsentralnye mery”, Uspekhi matem nauk, 76:4 (2021), 143–144