Pieri algebras for the orthogonal and symplectic groups |
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| Authors: | Sangjib Kim Soo Teck Lee |
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| Affiliation: | 1. Department of Mathematics, Ewha Womans University, Daehyun-dong Seodaemun-gu, Seoul, 120-750, South Korea
2. Department of Mathematics, National University of Singapore, Block S17, 10 Lower Keng Ridge Road, Singapore, 119076, Singapore
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| Abstract: | We study the structure of a family of algebras which encodes an iterated version 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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