Bisets can be considered as categories. This note uses this point of view to give a simple proof of a Mackey-like formula expressing the tensor product of two induced bimodules.
Publié le : 2008-07-05
Classification:
tensor product,
Biset,
induced,
bimodule,
tensor product.,
AMS subject classification (2000)~: 16D20, 20C20.,
[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR],
[MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT]
@article{hal-00365290,
author = {Bouc, Serge},
title = {Bisets as categories, and tensor product of induced bimodules},
journal = {HAL},
volume = {2008},
number = {0},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00365290}
}
Bouc, Serge. Bisets as categories, and tensor product of induced bimodules. HAL, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/hal-00365290/