Specification: Dual Root Space Elements

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

DualRootSpaceElem is currently documented in the OSCAR v1.7 profile through the rosetta-stone corpus. This page records the present encoding shape and should be read as a profile-specific type description.

Encoding Notes

Canonical Example Payload

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

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.7.0"]},
  "_type": {"name": "DualRootSpaceElem", "params": "e85d0ffb-b6e9-44af-b390-d48aea71dc09"},
  "data": ["1", "1", "1", "1", "1", "1"],
  "_refs": {
    "e85d0ffb-b6e9-44af-b390-d48aea71dc09": {
      "_type": "RootSystem",
      "data": {
        "cartan_matrix": [
          ["2", "-1", "0", "0", "0", "0"],
          ["-1", "2", "-1", "0", "0", "0"],
          ["0", "-1", "2", "-1", "0", "0"],
          ["0", "0", "-1", "2", "-1", "0"],
          ["0", "0", "0", "-1", "2", "-1"],
          ["0", "0", "0", "0", "-1", "2"]
        ],
        "type": [["A", "6"]]
      }
    }
  }
}

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.

Profile Version Example Root type
Oscar 1.2.2 Positive coroot DualRootSpaceElem
Oscar 1.3.1 Positive coroot DualRootSpaceElem
Oscar 1.4.1 Positive coroot DualRootSpaceElem
Oscar 1.5.1 Positive coroot DualRootSpaceElem
Oscar 1.6.0 Positive coroot DualRootSpaceElem
Oscar 1.7.0 Positive coroot DualRootSpaceElem

Rosetta Stone Examples