HOPF代数表示范畴中的MONOIDAL不变量(英文)

《博士后文库》序言 Preface Chapter 1 The Green Rings of Hopf Algebras 1.1 Hopf algebras 1.2 Quantum traces ofmorphisms 1.3 Bilinear forms on Green rings 1.4 Some ring—theoretical properties Chapter 2 The Green Rings of Spherical Hopf Algebras 2.1 A new bilinear form 2.2 Quotients of Green rings 2.3 Group—like algebra and bi—Frobenius algebra structure Chapter 3 The Stable Green Rings of Hopf Algebras 3.1 Stable Green rings 3.2 Bi—Frobenius algebra structure 3.3 Applications to Radford Hopf algebras Chapter 4 The Caslmlr Numbers of Green Rings 4.1 The Jacobson semisimplicity of Green rings 4.2 The Green ring of a cyclic group 4.3 The Casimir number of the Green ring of a cyclic group Chapter 5 The Casimir Numbers of Fusion Categories 5.1 Numerical invariants 5.2 Applications to Verlinde modular categories 5.3 Prime factors of Casimir numbers 5.4 Casimir numbers VS.Frobenius—Schur exponents Chapter 6 Higher Frobenius.Schur Indicators in Positive Characteristic 6.1 Characterizations of S2=id 6.2 Some properties of the element U 6.3 Higher Frobenius—Schur indicators 6.4 Monoidal invariantS Chapter 7 The Grothendieck Algebras of Smash Product Hopf Algebras 7.1 Smash product Hopf algebras 7.2 Representations of smash product Hopf algebras 7.3 The Grothendieck algebras of smash product Hopf algebras Chapter 8 Invariants from the Sweedler Power Maps on Integrals 8.1 The Sweedler power maps on integrals 8.2 Polynomial invariants 8.3 Examples 8.4 Integrals of the dual of twisted Hopf algebras Bibliography Index 编后记