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SUMMARY:Blas Torrecillas (Universidad de Almería)
DTSTART:20260506T090000Z
DTEND:20260506T100000Z
DTSTAMP:20260513T125030Z
UID:EQuAL/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/56/">D
 ouble Wreath Quasi-Hopf Algebras</a>\nby Blas Torrecillas (Universidad de 
 Almería) as part of European Quantum Algebra Lectures (EQuAL)\n\n\nAbstra
 ct\nFor a quasi-bialgebra $H$\, we show that the category $C$ of $H$-bimod
 ules is duoidal and that the so-called $u$-coaugmented bimonoids in $C$ ar
 e exactly the quasi-bialgebras with a coalgebra projection. When $H$ is a 
 quasi-Hopf algebra with bijective antipode\, we prove that the $u$-coaugme
 nted bimonoids in $C$ can also be described as what we will call double wr
 eath quasi-Hopf algebras\, objects determined by $H$ and pre-bialgebras $R
 $ within the category of Yetter-Drinfeld modules over $H$. A particular cl
 ass of double wreath quasi-Hopf algebras is obtained by deforming with a 2
 -cocycle the multiplication of a Radford biproduct quasi-Hopf algebra. Oth
 er classes of this type are given by the symplectic fermion quasi-Hopf alg
 ebras.\n\n\nThis is a joint work with D. Bulacu and D. Popescu.\n
LOCATION:https://researchseminars.org/talk/EQuAL/56/
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