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Additional resources for Communications in Mathematical Physics - Volume 200
54, 1634–1649 (1994) 9. : Pseudospectra of linear operators. SIAM Review 39, 383–406 (1997) Communicated by B. Simon Commun. Math. Phys. , 35 route de Chartres, 91440 Bures-sur-Yvette, France. fr Received: 4 May 1998 / Accepted: 12 June 1998 Abstract: Given a finite graph E we define a family A of subgraphs F by restricting the number of edges of F with endpoint at any vertex of E. ). Extensions of these results to weighted and infinite graphs are given. 1. 1) F ∈A where A is a set of subgraphs of a given finite graph (V, E).
The ADE 7 invariants also include the simple current invariants for which Z , = 0 implies = J · for a simple current J. Automorphism and simple current invariants constitute the A and D type modular invariants. Note that there are two kinds of modular invariants: |χi |2 , χi χ¯ σ(i) , type I, type II, where χi are (possibly extended) characters and σ is a non-trivial permutation of the (extended) fusion rules. e. at least one χi is a proper sum over two or more χ ’s) finally constitute the E7 modular invariants.
2 Application of α-Induction to Conformal Inclusions . . . . . . . . 1 The general method . . . . . . . . . . . . . . . . . . . . . 2 Example: SU (2)10 ⊂ SO(5)1 . . . . . . . . . . . . . . . . . 3 More examples . . . . . . . . . . . . . . . . . . . . . . . 4 A non-commutative sector algebra . . . . . . . . . . . . . . . 3 The Treatment of Orbifold Inclusions . . . . . . . . . . .