Doset Hibi rings with an application to invariant theory

Details Doset Hibi rings with an application to invariant theory Doset Hibi rings with an application to invariant theory

2009-01-08

arxiv.org/abs/0901.1052v3

Mathematics

Commutative Algebra

Minor modifications

Scientific paper

We define the concept of a doset Hibi ring and a generalized doset Hibi ring which are subrings of a Hibi ring and are normal affine semigrouprings. We apply the theory of (generalized) doset Hibi rings to analyze the rings of absolute orthogonal invariants and special orthogonal invariants and show that these rings are normal and Cohen-Macaulay and has rational singularities if the characteristic of the base field is zero and is F-rational otherwise. We also state a criterion of Gorenstein property of these rings.

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