"eigensection" meaning in English

See eigensection in All languages combined, or Wiktionary

Noun

Forms: eigensections [plural]
Head templates: {{en-noun}} eigensection (plural eigensections)
  1. (algebra) A homogenous section whose associated Eulerian family diagonalizes a given element of a Lie algebra. Categories (topical): Algebra
    Sense id: en-eigensection-en-noun-CYieeKvS Categories (other): English entries with incorrect language header Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for eigensection meaning in English (1.1kB)

{
  "forms": [
    {
      "form": "eigensections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigensection (plural eigensections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A homogenous section whose associated Eulerian family diagonalizes a given element of a Lie algebra."
      ],
      "id": "en-eigensection-en-noun-CYieeKvS",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "homogenous",
          "homogenous"
        ],
        [
          "section",
          "section"
        ],
        [
          "Eulerian",
          "Eulerian"
        ],
        [
          "family",
          "family"
        ],
        [
          "diagonalize",
          "diagonalize"
        ],
        [
          "Lie algebra",
          "Lie algebra"
        ]
      ],
      "raw_glosses": [
        "(algebra) A homogenous section whose associated Eulerian family diagonalizes a given element of a Lie algebra."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigensection"
}
{
  "forms": [
    {
      "form": "eigensections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigensection (plural eigensections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "en:Algebra"
      ],
      "glosses": [
        "A homogenous section whose associated Eulerian family diagonalizes a given element of a Lie algebra."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "homogenous",
          "homogenous"
        ],
        [
          "section",
          "section"
        ],
        [
          "Eulerian",
          "Eulerian"
        ],
        [
          "family",
          "family"
        ],
        [
          "diagonalize",
          "diagonalize"
        ],
        [
          "Lie algebra",
          "Lie algebra"
        ]
      ],
      "raw_glosses": [
        "(algebra) A homogenous section whose associated Eulerian family diagonalizes a given element of a Lie algebra."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigensection"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.