Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11856-012-0105-1
Title: Pieri algebras for the orthogonal and symplectic groups
Authors: Kim, S.
Lee, S.T. 
Issue Date: 2013
Citation: Kim, S., Lee, S.T. (2013). Pieri algebras for the orthogonal and symplectic groups. Israel Journal of Mathematics 195 (1) : 215-245. ScholarBank@NUS Repository. https://doi.org/10.1007/s11856-012-0105-1
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. © 2013 Hebrew University Magnes Press.
Source Title: Israel Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103936
ISSN: 00212172
DOI: 10.1007/s11856-012-0105-1
Appears in Collections:Staff Publications

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