Citation

BibTex format

@article{Ivanov:2016:10.1007/s10801-016-0668-8,
author = {Ivanov, AA and Franchi, C and Mainardis, M},
doi = {10.1007/s10801-016-0668-8},
journal = {Journal of Algebric Combinations},
pages = {265--292},
title = {Standard Majorana representations of the symmetric groups},
url = {http://dx.doi.org/10.1007/s10801-016-0668-8},
volume = {44},
year = {2016}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - Let G be a finite group, W be a R[G]-module equipped with a G-invariant positive definite bilinear form (,)W, and X a finite generating set of W such that X is transitively permuted by G. We show a new method for computing the dimensions of the irreducible constituents of W. Further, we apply this method to Majorana representations of the symmetric groups and prove that the symmetric group Sn has a Majorana representation in which every permutation of type (2, 2) of Sn corresponds to a Majorana axis if and only if n≤12.
AU - Ivanov,AA
AU - Franchi,C
AU - Mainardis,M
DO - 10.1007/s10801-016-0668-8
EP - 292
PY - 2016///
SN - 1572-9192
SP - 265
TI - Standard Majorana representations of the symmetric groups
T2 - Journal of Algebric Combinations
UR - http://dx.doi.org/10.1007/s10801-016-0668-8
VL - 44
ER -