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Paper detail

Pieri algebras for the orthogonal and symplectic groups

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.

preprint2010arXivOpen access
Sangjib KimSoo Teck Lee
math.COmath.RT
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Sangjib KimSoo Teck Lee

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