See group of Lie type on Wiktionary
{ "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.", "forms": [ { "form": "groups of Lie type", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "groups of Lie type" }, "expansion": "group of Lie type (plural groups of Lie type)", "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": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Group theory", "orig": "en:Group theory", "parents": [ "Algebra", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "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." ], "id": "en-group_of_Lie_type-en-noun--FcgBOdn", "links": [ [ "group theory", "group theory" ], [ "finite", "finite" ], [ "group", "group" ], [ "rational", "rational" ], [ "point", "point" ], [ "finite field", "finite field" ] ], "raw_glosses": [ "(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." ], "topics": [ "group-theory", "mathematics", "sciences" ] } ], "word": "group of Lie type" }
{ "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.", "forms": [ { "form": "groups of Lie type", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "groups of Lie type" }, "expansion": "group of Lie type (plural groups of Lie type)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Group theory" ], "glosses": [ "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." ], "links": [ [ "group theory", "group theory" ], [ "finite", "finite" ], [ "group", "group" ], [ "rational", "rational" ], [ "point", "point" ], [ "finite field", "finite field" ] ], "raw_glosses": [ "(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." ], "topics": [ "group-theory", "mathematics", "sciences" ] } ], "word": "group of Lie type" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.
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