Mathematics – Quantum Algebra
Scientific paper
2009-09-24
A Window into Zeta and Modular Physics, ed Kirsten, K. and Williams, F., MSRI Publications 57 (2010), 183--278 CUP
Mathematics
Quantum Algebra
118 pages. These are notes based on a series of lectures at the Graduate Workshop " A Window into Zeta and Modular Physics " a
Scientific paper
The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite group and its irreducible characters; the algebraic structure determines a set of numerical invariants, and arithmetic properties of the invariants provides feedback in the form of restrictions on the algebraic structure. One of the main points of these Notes is to explain how this works, and to give some reasonably interesting examples.
Mason Geoffrey
Tuite Michael P.
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