Vertex Operators and Modular Forms Export

@article{citeulike:5845702, abstract = {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.}, archivePrefix = {arXiv}, author = {Mason, Geoffrey and Tuite, Michael P.}, citeulike-article-id = {5845702}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.4460}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.4460}, day = {24}, eprint = {0909.4460}, keywords = {algebra, mathematics, number-theory, physics}, month = {Sep}, posted-at = {2009-09-27 18:45:52}, priority = {2}, title = {Vertex Operators and Modular Forms}, url = {http://arxiv.org/abs/0909.4460}, year = {2009} }

TY - JOUR ID - citeulike:5845702 L3 - citeulike-article-id:5845702 N2 - 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. TI - Vertex Operators and Modular Forms KW - algebra KW - mathematics KW - number-theory KW - physics AU - Mason, Geoffrey AU - Tuite, Michael PY - 2009/Sep/24/ UR - http://arxiv.org/abs/0909.4460 ER -