Geodesic
A Brauer-Clifford-Long group for the category of dyslectic Hopf Yetter-Drinfel'd (S,H)-module algebras
Theory and applications of categories, Tome 33 (2018), pp. 216-252.

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Brauer-Clifford groups are equivariant Brauer groups for which a Hopf algebra acts or coacts nontrivially on the base ring. Brauer-Clifford groups have been established previously in the category of modules for a skew group ring S#G, the category of modules for the smash product S#H over a cocommutative Hopf algebra H, and its dual category of (S,H)-Hopf modules over a commutative Hopf algebra H. In this article the authors introduce a Brauer-Clifford group for the category of dyslectic Hopf Yetter-Drinfel'd (S,H)-modules for an H-commutative base ring S and quantum group H. This is the first such example in a category of modules for a quantum group, and it gives a new example of an equivariant Brauer group in a braided monoidal category.
Publié le :
Classification : Primary: 16W30, Secondary: 16K50, 16T05, 18D10
Keywords: Hopf algebras, Yetter-Drinfel'd modules, Braided monoidal categories, Brauer groups 
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     author = {Thomas Guedenon and Allen Herman},
     title = {A {Brauer-Clifford-Long} group for the category of dyslectic {Hopf} {Yetter-Drinfel'd} {(S,H)-module} algebras},
     journal = {Theory and applications of categories},
     pages = {216--252},
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     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/TAC_2018_33_a8/}
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Thomas Guedenon; Allen Herman. A Brauer-Clifford-Long group for the category of dyslectic Hopf Yetter-Drinfel'd (S,H)-module algebras. Theory and applications of categories, Tome 33 (2018), pp. 216-252. http://geodesic.mathdoc.fr/item/TAC_2018_33_a8/