English

Frobenius splitting of certain rings of invariants

Algebraic Geometry 2009-02-24 v1 Commutative Algebra

Abstract

Two classical rings of invariants are shown to be Frobenius split: for the special linear group acting on the direct sum of several copies of the defining representation and several copies of the dual of the defining representation; and for the special orthogonal group acting on several copies of the defining representation.

Keywords

Cite

@article{arxiv.0902.3811,
  title  = {Frobenius splitting of certain rings of invariants},
  author = {V. Lakshmibai and K. N. Raghavan and P. Sankaran},
  journal= {arXiv preprint arXiv:0902.3811},
  year   = {2009}
}

Comments

14 pages, latex