English

Symmetric permutation invariants in some tensor products

Combinatorics 2021-03-04 v1 Representation Theory

Abstract

This is a note for constructing fundamental invariants and computing the Hilbert series of the invariant subalgebras of tensor products of polynomial rings under the action by a direct product of symmetric groups. Our computation relies on Schur functions bringing together several identities of combinatorial generating functions including that of plane partitions.

Keywords

Cite

@article{arxiv.2103.02168,
  title  = {Symmetric permutation invariants in some tensor products},
  author = {Zhipeng Lu},
  journal= {arXiv preprint arXiv:2103.02168},
  year   = {2021}
}

Comments

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R2 v1 2026-06-23T23:41:34.810Z