| http://dbpedia.org/ontology/abstract
|
In mathematics, the Tamagawa number of a s … In mathematics, the Tamagawa number of a semisimple algebraic group defined over a global field k is the measure of , where is the adele ring of k. Tamagawa numbers were introduced by Tamagawa, and named after him by Weil. Tsuneo Tamagawa's observation was that, starting from an invariant differential form ω on G, defined over k, the measure involved was well-defined: while ω could be replaced by cω with c a non-zero element of , the product formula for valuations in k is reflected by the independence from c of the measure of the quotient, for the product measure constructed from ω on each effective factor. The computation of Tamagawa numbers for semisimple groups contains important parts of classical quadratic form theory. parts of classical quadratic form theory.
|
| http://dbpedia.org/ontology/wikiPageExternalLink
|
https://books.google.com/books%3Fid=vQvvAAAAMAAJ +
, https://www.cornell.edu/video/jacob-lurie-the-siegel-mass-formula +
, https://arxiv.org/abs/0801.4733 +
, http://www.numdam.org/item%3Fid=SB_1958-1960__5__249_0 +
, http://www.math.harvard.edu/~lurie/282y.html +
|
| http://dbpedia.org/ontology/wikiPageID
|
1168653
|
| http://dbpedia.org/ontology/wikiPageLength
|
6264
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1047610863
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Adele_ring +
, http://dbpedia.org/resource/Semisimple_group +
, http://dbpedia.org/resource/Completion_%28algebra%29 +
, http://dbpedia.org/resource/Annals_of_Mathematics +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Dimension_of_an_algebraic_variety +
, http://dbpedia.org/resource/Haar_measure +
, http://dbpedia.org/resource/Weil%27s_conjecture_on_Tamagawa_numbers +
, http://dbpedia.org/resource/Quadratic_form +
, http://dbpedia.org/resource/Category:Algebraic_number_theory +
, http://dbpedia.org/resource/Differential_form +
, http://dbpedia.org/resource/Well-defined +
, http://dbpedia.org/resource/American_Mathematical_Society +
, http://dbpedia.org/resource/Algebraic_group +
, http://dbpedia.org/resource/Dennis_Gaitsgory +
, http://dbpedia.org/resource/Algebraic_function_field +
, http://dbpedia.org/resource/Tsuneo_Tamagawa +
, http://dbpedia.org/resource/Jacob_Lurie +
, http://dbpedia.org/resource/Semisimple_algebraic_group +
, http://dbpedia.org/resource/Category:Algebraic_groups +
, http://dbpedia.org/resource/Global_field +
, http://dbpedia.org/resource/Classical_group +
, http://dbpedia.org/resource/Adelic_algebraic_group +
|
| http://dbpedia.org/property/id
|
T/t092060
|
| http://dbpedia.org/property/title
|
Tamagawa number
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Harvtxt +
, http://dbpedia.org/resource/Template:Citation +
, http://dbpedia.org/resource/Template:Sfn +
, http://dbpedia.org/resource/Template:Harvs +
, http://dbpedia.org/resource/Template:Springer +
, http://dbpedia.org/resource/Template:Math +
, http://dbpedia.org/resource/Template:See_also +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Algebraic_groups +
, http://dbpedia.org/resource/Category:Algebraic_number_theory +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Tamagawa_number?oldid=1047610863&ns=0 +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Tamagawa_number +
|
| owl:sameAs |
http://www.wikidata.org/entity/Q60520101 +
, https://global.dbpedia.org/id/9UQuW +
, http://dbpedia.org/resource/Tamagawa_number +
|
| rdfs:comment |
In mathematics, the Tamagawa number of a semisimple algebraic group defined over a global field k is the measure of , where is the adele ring of k. Tamagawa numbers were introduced by Tamagawa, and named after him by Weil.
|
| rdfs:label |
Tamagawa number
|
| rdfs:seeAlso |
http://dbpedia.org/resource/Weil_conjecture_on_Tamagawa_numbers +
|
