On Isotypic Decompositions for Non-Semisimple Hopf Algebras
نویسندگان
چکیده
منابع مشابه
Normal Hopf Subalgebras of Semisimple Hopf Algebras
In this note the notion of kernel of a representation of a semisimple Hopf algebra is introduced. Similar properties to the kernel of a group representation are proved in some special cases. In particular, every normal Hopf subalgebra of a semisimple Hopf algebra H is the kernel of a representation of H
متن کاملOn semisimple Hopf algebras of low dimension
We announce recent progress on the question about the semisolvability of semisimple Hopf algebras of dimension < 60. 2000 AMS Subject Classification: 16W30
متن کاملCoset Decomposition for Semisimple Hopf Algebras
The notion of double coset for semisimple finite dimensional Hopf algebras is introduced. This is done by considering an equivalence relation on the set of irreducible characters of the dual Hopf algebra. As an application formulae for the restriction of the irreducible characters to normal Hopf subalgebras are given.
متن کاملCharacter Theory for Semisimple Hopf Algebras
We study the induction and restriction functor from a Hopf subalgebra of a semisimple Hopf algebra. The image of the induction functor is described when the Hopf subalgebra is normal. In this situation, at the level of characters this image is isomorphic to the image of the restriction functor. A criterion for subcoalgebras to be invariant under the adjoint action is given generalizing Masuoka’...
متن کاملSemisimple Hopf Algebras and Their Depth Two Hopf Subalgebras
We prove that a depth two Hopf subalgebra K of a semisimple Hopf algebra H is normal (where the ground field k is algebraically closed of characteristic zero). This means on the one hand that a Hopf subalgebra is normal when inducing (then restricting) modules several times as opposed to one time creates no new simple constituents. This point of view was taken in the paper [13] which establishe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2021
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-021-10029-x