Specification: Weyl Groups (OSCAR v1.2-v1.3)

Profiles: OSCAR v1.2, OSCAR v1.3 Other versions: Weyl Groups (OSCAR v1.4-v1.8)

In OSCAR v1.2 and v1.3, WeylGroup uses the bare type name "WeylGroup" and stores the ambient root system reference under data.root_system.

Encoding Notes

• Use _type: "WeylGroup".
• Store the referenced root system under data.root_system.
• Resolve that reference through _refs.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.3.1"]},
  "_type": "WeylGroup",
  "data": {"root_system": "183d6219-0215-4d04-a1fe-30c1f7a49398"},
  "id": "07b88f91-7c6b-4f7c-b319-08d10897c584",
  "_refs": {
    "183d6219-0215-4d04-a1fe-30c1f7a49398": {
      "_type": "RootSystem",
      "data": {
        "cartan_matrix": [
          ["2", "-1", "0", "0", "0", "0"],
          ["-1", "2", "0", "0", "0", "0"],
          ["0", "0", "2", "-1", "0", "0"],
          ["0", "0", "-1", "2", "-1", "0"],
          ["0", "0", "0", "-1", "2", "-1"],
          ["0", "0", "0", "0", "-2", "2"]
        ],
        "type": [["A", "2"], ["B", "4"]]
      }
    }
  }
}

Documented Profiles in This Corpus

This table records the profile/version pairs currently represented by the rosetta-stone examples for this data type. Add new rows as new systems or encoding revisions are documented.

Rosetta Stone Examples

• Weyl group