A presentation of the double Pieri algebra

초록

The double Pieri algebra, constructed by Howe, Lee, and the author in [10, 12], encodes information on the decomposition of Pieri type tensor products of irreducible representations for complex classical groups. In this paper we study its finite presentation in terms of generators and relations, and then prove that it admits the structure of a cluster algebra. We also study its sl(2)-module structure. (C) 2017 Elsevier B.V. All rights reserved.

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