Semi-Infinite Wedges and Vertex Operators

Details Semi-Infinite Wedges and Vertex Operators Semi-Infinite Wedges and Vertex Operators

1995-04-21

arxiv.org/abs/q-alg/9504013v1

Mathematics

Quantum Algebra

17 pages

Scientific paper

The level 1 highest weight modules of the quantum affine algebra $U_q(\widehat{\frak{sl}}_n)$ can be described as spaces of certain semi-infinite wedges. Using a $q$-antisymmetrization procedure, these semi-infinite wedges can be realized inside an infinite tensor product of evaluation modules. This realization gives rise to simple descriptions of vertex operators and (up to a scalar function) their compositions.

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