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Example: Element of weight lattice

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

A fixed element in the weight lattice of A2 x B4.

Systems

Oscar.jl

Generate code (generate.jl) [ edit ]

using Oscar

P = weight_lattice(root_system((:A, 2), (:B, 4)))
save("data.mrdi", WeightLatticeElem(P, [1, -2, 3, 0, 2, -1]))

Data outputs

Profiles: OSCAR v1.0

Not available for OSCAR v1.0.

In OSCAR v1.0-1.2 the generator does not run successfully; the exact failure mode varies across versions.

Profiles: OSCAR v1.1

Not available for OSCAR v1.1.

In OSCAR v1.0-1.2 the generator does not run successfully; the exact failure mode varies across versions.

Profiles: OSCAR v1.2

Not available for OSCAR v1.2.

In OSCAR v1.0-1.2 the generator does not run successfully; the exact failure mode varies across versions.

Profiles: OSCAR v1.3

Data file: data.mrdi

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.3.1"]},
  "_type": {"name": "WeightLatticeElem", "params": "17f32d27-551e-46af-95ac-99e6686d2fc2"},
  "data": ["1", "-2", "3", "0", "2", "-1"],
  "_refs": {
    "17f32d27-551e-46af-95ac-99e6686d2fc2": {"_type": "WeightLattice", "data": {"root_system": "c329b055-e238-477e-964e-2fc2db5758ed"}},
    "c329b055-e238-477e-964e-2fc2db5758ed": {
      "_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"]]
      }
    }
  }
}

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": "WeightLatticeElem", "params": "45689013-5109-4d3a-a9b4-72f9056b8c25"},
  "data": ["1", "-2", "3", "0", "2", "-1"],
  "_refs": {
    "45689013-5109-4d3a-a9b4-72f9056b8c25": {
      "_type": {"name": "WeightLattice", "params": "94ff9b63-ec4a-4627-ab98-c2620014235c"},
      "data": {}
    },
    "94ff9b63-ec4a-4627-ab98-c2620014235c": {
      "_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.