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- W2949421785 abstract "We show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $tildegoth g$ we construct the corresponding level $k$ vertex operator algebra and we show that level $k$ highest weight $tildegoth g$-modules are modules for this vertex operator algebra. We determine the set of annihilating fields of level $k$ standard modules and we study the corresponding loop $tildegoth g$ module---the set of relations that defines standard modules. In the case when $tildegoth g$ is of type $A_1^{(1)}$, we construct bases of standard modules parameterized by colored partitions and, as a consequence, we obtain a series of Rogers-Ramanujan type combinatorial identities." @default.
- W2949421785 created "2019-06-27" @default.
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- W2949421785 date "1998-06-19" @default.
- W2949421785 modified "2023-09-24" @default.
- W2949421785 title "Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities" @default.
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