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arXiv · 0907.1336

Pieri algebras for the orthogonal and symplectic groups

Sangjib Kim·Soo Teck Lee
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Abstract

We study the structure of a family of algebras which encodes a generalization of the Pieri Rule for the complex orthogonal group. In particular, we show that each of these algebras has a standard monomial basis and has a flat deformation to a Hibi algebra. There is also a parallel theory for the complex symplectic group.

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Sangjib Kim, Soo Teck Lee. 2010-03-18. Pieri algebras for the orthogonal and symplectic groups. https://arxiv.org/abs/0907.1336

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