It is found that four theorems of Hirschhorn [Hirschhorn, M. D. (1979). Some partition theorems of the Rogers-Ramanujan type. J. Comb. Th. A 27:33-37] correspond to standard representations of an affine Lie algebra. Using this correspondence two more theorems of the same type are found. It turns out that a classical result of Euler also appears in this context.
On some theorems of Hirschhorn / Capparelli, Stefano. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 32:2(2004), pp. 629-635. [10.1081/agb-120027918]
On some theorems of Hirschhorn
CAPPARELLI, Stefano
2004
Abstract
It is found that four theorems of Hirschhorn [Hirschhorn, M. D. (1979). Some partition theorems of the Rogers-Ramanujan type. J. Comb. Th. A 27:33-37] correspond to standard representations of an affine Lie algebra. Using this correspondence two more theorems of the same type are found. It turns out that a classical result of Euler also appears in this context.File allegati a questo prodotto
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