Example: Weyl group

Profiles: OSCAR v1.2, OSCAR v1.3, OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7, OSCAR v1.8

The Weyl group of A2 x B4.

Systems

Oscar.jl

Generate code (generate.jl) [ edit ]

using Oscar

save("data.mrdi", weyl_group((:A, 2), (:B, 4)))

Data outputs

Profiles: OSCAR v1.0

Not available for OSCAR v1.0.

In OSCAR v1.0-1.1 the generator fails with `Unsupported type 'Oscar.LieAlgebras.WeylGroup' for encoding`.

Profiles: OSCAR v1.1

Not available for OSCAR v1.1.

In OSCAR v1.0-1.1 the generator fails with `Unsupported type 'Oscar.LieAlgebras.WeylGroup' for encoding`.

Profiles: OSCAR v1.2, OSCAR v1.3

Data file: data.mrdi

{
  "_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"]]
      }
    }
  }
}

This serialized output is equivalent for these profiles up to UUID renaming and recorded namespace version strings.

Profiles: OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7

Data file: data.mrdi

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.7.0"]},
  "_type": {"name": "WeylGroup", "params": "3bdd177a-b720-4520-a304-5684675a1d9b"},
  "data": {},
  "id": "8c43682d-e69e-4b92-a66f-628108e7593b",
  "_refs": {
    "3bdd177a-b720-4520-a304-5684675a1d9b": {
      "_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"]]
      }
    }
  }
}

This serialized output is equivalent for these profiles up to UUID renaming and recorded namespace version strings.