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SUMMARY:Semi-direct product of categories and twisted actions of categoric
al groups
DTSTART:20140715T133000Z
DTEND:20140715T140000Z
DTSTAMP:20240518T130500Z
UID:indico-event-557@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Saikat CHATTERJEE (IHÉS)\n\n\n A (strict) catego
rical group is a (strict) monoidal category with an additional operation o
f 'inversion' under monoidal product. It has an equivalent description in
terms of crossed modules. In order to study the representations/actions of
categorical groups\, we introduce a notion of semi-direct product of cate
gories. It turns out that there are many interesting examples of semi-dire
ct product of categories. In particular I will give some examples where on
e of the category is a (strict) categorical group. We use the notion of se
mi direct product of categories to define a kind of 'twisted action' of a
categorical group. If time permits I will discuss a version of Schur's lem
ma in this context.\n \n\n Reference:Twisted actions of categorica
l groups\, S Chatterjee\, A Lahiri\, A Sengupta\, Theory and Applications
of Categories\, Vol. 29\, 2014\, No. 8\, pp 215-255\n\nhttps://indico.math
.cnrs.fr/event/557/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/557/
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