Calculus of Principally Twisted Vertex Operators by Leila Figueredo

By Leila Figueredo

Show description

Read Online or Download Calculus of Principally Twisted Vertex Operators PDF

Similar calculus books

Additional resources for Calculus of Principally Twisted Vertex Operators

Sample text

2) (ii)) we have that c -a is determined by c . 2) is determined by its values on a base p: by L •> C * A of $. So we define 32 L. FIGUEIREDO P( and the condition that p(a) = mc a p(va) = p(a) for all p be a group homomorphism from a e $. for all Conversely, let p(va) = p(a) Since c a = c va for all L to C*. Then a e •$ we have that a e L. ,£ i c fs a e L. 2) (ii) and (iii). c a = —p(a), it is easy m // 8. COXETER AND TWISTED COXETER AUTOMORPHISMS This section is independent of 2-7. 8) stated in section 2.

Lepowsky, S. Mandelstam and I. M. Singer, Publ. Mathematical Sciences Research Institute #3, Springer-Verlag (1985), 231-273. [14] D. Mitzman, Integral bases of affine Lie algebras and their universal enveloping algebras. American Mathematical Society, Contemporary Mathematics vol. 40 (1985). 57 58 L. FIGUEIREDO [15] G. Segal, Unitary representations of some infinite-dimensional groups. Comm. Math. Phys. 8£ (1981), 301-342. [16] T. A. Springer, Regular elements of finite reflection groups. Math.

P,(va) = p,(a) A A p, : L -> (C* for all a e L and i be the root lattice of a root system $ of type A, D be a Coxeter automorphism or a twisted Coxeter automor- The number of distinct group homomorphisms p: L -> C* such that p(va) = p(cx) is equal to the number of inequivalent basic modules for &(v) . ,(Xp} of $. lfs among the integers (i) Coxeter automorphisms. (see Table III). p(va) = p(a) for all a e L we must have: p(a ) = ... -aj. ). Thus there are exactly (2) Hence p(ax) p(a-) = e, where e Z+l is a = 1.

Download PDF sample

Rated 4.43 of 5 – based on 35 votes