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|Title:||Pieri algebras for the orthogonal and symplectic groups|
|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|
|Appears in Collections:||Staff Publications|
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