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.
机构:
Univ Bucharest, Fac Math & Comp Sci, RO-70109 Bucharest 1, Romania
Romanian Acad, Inst Math Simion Stoilow, RO-014700 Bucharest, RomaniaUniv Bucharest, Fac Math & Comp Sci, RO-70109 Bucharest 1, Romania