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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Dan Rogalski\, UC San Diego\n\n\nTitle: Homological integrals f
or weak Hopf algebras\n\n\nAbstract: The integral is an important structure
in a finite-dimensional Hopf algebra. Lu\, Wu\, and Zhang generalized this
to define a homological integral for any Artin-Schelter Gorenstein Hopf al
gebra. This homological integral has many applications in the study of Hopf
algebras of small GK-dimension. A weak Hopf algebra is a generalization of
a Hopf algebra in which the comultiplication does not necessarily preserve
the unit. Weak Hopf algebras arise naturally in the study of tensor catego
ries\, for example. In this work we show how to define a homological integr
al for an AS Gorenstein weak Hopf algebra\, and that it has good properties
. This is joint work in progress with Rob Won and James Zhang.
DTEND:20240422T233000Z
DTSTAMP:20240612T215144Z
DTSTART:20240422T223000Z
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 245
SEQUENCE:0
SUMMARY:Algebra Seminar: Homological integrals for weak Hopf algebras
UID:tag:localist.com\,2008:EventInstance_46182455181287
URL:https://calendar.usc.edu/event/algebra-seminar-homological-integrals-fo
r-weak-hopf-algebras
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