Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A_1^(1)

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Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A_1^{(1)}. A realization of the basic representation that is of ``D_2^{(2)}''-type plays the central role.
21pages

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Representation Theory, Combinatorics, 05E05;17B67

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http://salesiana.dossiersoluciones.com/handle/123456789/127101

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512257
 http://arxiv.org/abs/math/0512257

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arXiv