Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 96-114
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V. N. Ivanov. Bi-spherical functions on the symmetric group associated to hyperoctahedral subgroup. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 96-114. http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a7/
@article{ZNSL_1997_240_a7,
author = {V. N. Ivanov},
title = {Bi-spherical functions on the symmetric group associated to hyperoctahedral subgroup},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {96--114},
year = {1997},
volume = {240},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a7/}
}
TY - JOUR
AU - V. N. Ivanov
TI - Bi-spherical functions on the symmetric group associated to hyperoctahedral subgroup
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 96
EP - 114
VL - 240
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a7/
LA - ru
ID - ZNSL_1997_240_a7
ER -
%0 Journal Article
%A V. N. Ivanov
%T Bi-spherical functions on the symmetric group associated to hyperoctahedral subgroup
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 96-114
%V 240
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a7/
%G ru
%F ZNSL_1997_240_a7
We consider an arbitrary irreducible representation of a symmetric group $S_{4m}$ that has both a $B_{2m}$-invariant vector and a $B_{2m}$-antiinvariant vector, where $B_{2m}$ is a hyperoctahedral subgroup of $S_{4m}$. The main result is an expression for a matrix element corresponding to these two vectors in terms of an irreducible character of the symmetric group $S_m$.
