Localized coinvariants (CROSBI ID 515499)
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Podaci o odgovornosti
Škoda, Zoran
engleski
Localized coinvariants
Let H be a Hopf algebra and A an H-comodule algebra. The case when A is a well-behaved extension of the algebra of coinvariants U, e.g. the theory of H-Galois extensions has been widely studied. On the contrary, we study the case when U is too small but the problem can be avoided using localizations. An Ore localization of a H-comodule algebra is compatible with the coaction if there is an induced H-comodule algebra structure on the localization. We consider finite sets of compatible Ore localizations A(s), covering A, where each localization A(s) has a structure of a smash product U(s)#H, and view this setup as an analogue of a locally trivial principal fibre bundle. We study a nontrivial class of natural examples related to quantum linear groups.
Hopf algebra; comodule algebra; localization; coinvariants; quantum linear groups
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Podaci o prilogu
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Podaci o skupu
International Hopf Algebra Conference
pozvano predavanje
01.02.2002-03.02.2002
Chicago (IL), Sjedinjene Američke Države