@article{SIGMA_2018_14_a99,
author = {Benjamin Sambale},
title = {Morita {Equivalent} {Blocks} of {Symmetric} {Groups}},
journal = {Symmetry, integrability and geometry: methods and applications},
year = {2018},
volume = {14},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a99/}
}
Benjamin Sambale. Morita Equivalent Blocks of Symmetric Groups. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a99/
[1] Bosma W., Cannon J., Playoust C., “The Magma algebra system. I. The user language”, J. Symbolic Comput., 24 (1997), 235–265 | DOI | MR | Zbl
[2] Chuang J., Rouquier R., “Derived equivalences for symmetric groups and ${\mathfrak{sl}}_2$-categorification”, Ann. of Math., 167 (2008), 245–298, arXiv: math.RT/0407205 | DOI | MR | Zbl
[3] Fayers M., “Decomposition numbers for weight three blocks of symmetric groups and Iwahori–Hecke algebras”, Trans. Amer. Math. Soc., 360 (2008), 1341–1376 | DOI | MR | Zbl
[4] GAP – Groups, Algorithms, and Programming, Version 4.8.10, , 2018 http://www.gap-system.org
[5] Navarro G., Characters and blocks of finite groups, London Mathematical Society Lecture Note Series, 250, Cambridge University Press, Cambridge, 1998 | DOI | MR | Zbl
[6] Olsson J. B., “McKay numbers and heights of characters”, Math. Scand., 38 (1976), 25–42 | DOI | MR | Zbl
[7] Olsson J. B., Combinatorics and representations of finite groups, Vorlesungen aus dem Fachbereich Mathematik der Universität GH Essen, 20, Universität Essen, Fachbereich Mathematik, Essen, 1993 | MR | Zbl
[8] Osima M., “On the representations of the generalized symmetric group”, Math J. Okayama Univ., 4 (1954), 39–56 | MR | Zbl
[9] Puig L., “On Joanna Scopes' criterion of equivalence for blocks of symmetric groups”, Algebra Colloq., 1 (1994), 25–55 | MR | Zbl
[10] Richards M. J., “Some decomposition numbers for Hecke algebras of general linear groups”, Math. Proc. Cambridge Philos. Soc., 119 (1996), 383–402 | DOI | MR | Zbl
[11] Schaper K. D., Charakterformeln für Weyl-Moduln und Specht-Moduln in Primcharakteristik, Diplomarbeit, Bonn, 1981
[12] Scopes J., “Cartan matrices and Morita equivalence for blocks of the symmetric groups”, J. Algebra, 142 (1991), 441–455 | DOI | MR | Zbl