Pieri algebras for the orthogonal and symplectic groups

Details Pieri algebras for the orthogonal and symplectic groups Pieri algebras for the orthogonal and symplectic groups

2009-07-08

arxiv.org/abs/0907.1336v2

Mathematics

Representation Theory

26 pages, v2: new introduction, improved exposition, examples.

Scientific paper

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.

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