Naslov
Annihilating fields of standard modules of sl(2, C)~ and combinatorial identies

Autori
Meurman, Arne ; Primc, Mirko

Izvornik
Memoirs of the American Mathematical Society (0065-9266) 137 (1999), 652; 1-89

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
affine Lie algebras; Rogers-Ramanujan identies

Sažetak
We show that a set of local admissible fields generates avertex algebra. For an affine Lie algebra $ ildegoth g$ we construct the corresponding level $k$ vertex operator algebra and we show that level $k$ highest weight $ ildegoth g$-modules are modules for thisvertex operator algebra. We determine the set of annihilating fields of level $k$ standard modules and we study the corresponding loop $ ildegoth g$ module---the set of relations that defines standard modules. In the case when $ ildegoth g$ is of type $A_1^{;(1)};$, we constructbases of standard modules parameterized by colored partitions and, as a consequence, we obtain a series of Rogers-Ramanujan type combinatorial identities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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