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On separability of Tatra association schemes

  • Grigory Ryabov
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Abstract

A Tatra association scheme is an association scheme arising from a symmetric bilinear form defined on the equivalence classes of nonzero $2$-dimensional vectors modulo some subgroup of the multiplicative group of a finite field. In the present paper, we prove that every such association scheme is $4$-separable, i.e., it is determined up to isomorphism by the tensor of its $4$-dimensional intersection numbers.

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Cite

BibTeXRIS
BibTeX
@misc{ryabov2026separability,
  title = {{On separability of Tatra association schemes}},
  author = {Grigory Ryabov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.07672},
  eprint = {2605.07672},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.07672},
}
RIS
TY  - UNPB
TI  - On separability of Tatra association schemes
AU  - Grigory Ryabov
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2605.07672
UR  - https://arxiv.org/abs/2605.07672
AB  - A Tatra association scheme is an association scheme arising from a symmetric bilinear form defined on the equivalence classes of nonzero $2$-dimensional vectors modulo some subgroup of the multiplicative group of a finite field. In the present paper, we prove that every such association scheme is $4$-separable, i.e., it is determined up to isomorphism by the tensor of its $4$-dimensional intersection numbers.
ER  -