Pieri algebras for the orthogonal and symplectic groups

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

There are no files associated with this item.

Check