A~realization of the irreducible representations of~$S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Tome 301 (2003), pp. 212-218
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The article gives a simple realization of the representations of $S_n$ corresponding to 2-row diagrams and an explicit description of the corresponding branching rule. The representations form a subgraph of the Young graph, and they are realized in square-free symmetric multilinear forms.
@article{ZNSL_2003_301_a6,
author = {P. P. Nikitin},
title = {A~realization of the irreducible representations of~$S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {212--218},
publisher = {mathdoc},
volume = {301},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_301_a6/}
}
TY - JOUR AU - P. P. Nikitin TI - A~realization of the irreducible representations of~$S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms JO - Zapiski Nauchnykh Seminarov POMI PY - 2003 SP - 212 EP - 218 VL - 301 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2003_301_a6/ LA - ru ID - ZNSL_2003_301_a6 ER -
%0 Journal Article %A P. P. Nikitin %T A~realization of the irreducible representations of~$S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms %J Zapiski Nauchnykh Seminarov POMI %D 2003 %P 212-218 %V 301 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2003_301_a6/ %G ru %F ZNSL_2003_301_a6
P. P. Nikitin. A~realization of the irreducible representations of~$S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Tome 301 (2003), pp. 212-218. http://geodesic.mathdoc.fr/item/ZNSL_2003_301_a6/