Open AccessCalculus of twisted vertex operators
Author(s) -
James Lepowsky
Publication year - 1985
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.82.24.8295
Subject(s) - isometry (riemannian geometry) , vertex (graph theory) , mathematics , affine transformation , pure mathematics , algebra over a field , combinatorics , graph
Starting from an arbitrary isometry of an arbitrary even lattice, twisted and shifted vertex operators are introduced. Under commutators, these operators provide realizations of twisted affine Lie algebras. This construction, generalizing a number of known ones, is based on a self-contained “calculus.”