"group of Lie type" meaning in English

See group of Lie type in All languages combined, or Wiktionary

Noun

Forms: groups of Lie type [plural]
Etymology: Named for their close relationship with the (infinite) Lie groups, since a compact Lie group may be viewed as the rational points of a reductive linear algebraic group over the field of real numbers. Head templates: {{en-noun|groups of Lie type}} group of Lie type (plural groups of Lie type)
  1. (group theory) Usually, a finite group that is closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. Categories (topical): Group theory

Inflected forms

Download JSON data for group of Lie type meaning in English (1.9kB)

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  "etymology_text": "Named for their close relationship with the (infinite) Lie groups, since a compact Lie group may be viewed as the rational points of a reductive linear algebraic group over the field of real numbers.",
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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.