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On the integrability of subalgebroids [Elektronski vir]Moerdijk, Ieke ; Mrčun, JanezNaj bo ▫$G$▫ Liejev grupoid z Liejevim algebroidom ▫$\mathfrak{g}$▫. Vsak podalgebroid ▫$\mathfrac{h}$▫ algebroida ▫$\mathfrak{g}$▫ je integrabilen, vendar pa se ne da nujno integrirati s ... podgrupoidom grupoida ▫$G$▫, kot je to denimo primer v teoriji Liejevih grup in Liejevih algeber. V članku študiramo pogoje, ki morajo veljati za invariantno foliacijo grupoida ▫$G$▫ inducirano s ▫$\mathfrac{h}$▫, da je takšna integracija mogoča. Poleg tega študiramo še problem integracije z zaprtimi podgrupoidi in poiščemo pogoje za to, da je zaprtje Liejevega podgrupoida spet Liejev podgrupoid.Type of material - e-bookPublication and manufacture - Ithaca, NY : U.S. National Science Foundation, Cornell University, 2004Language - englishCOBISS.SI-ID - 13107545
Author
Moerdijk, Ieke |
Mrčun, Janez
Topics
matematika |
strukture na mnogoterostih |
Liejevi grupoidi |
Liejevi algebroidi |
integrabilnost |
foliacije |
mathematics |
structures on manifolds |
Lie groupoids |
Lie algebroids |
integrability |
foliations
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Database name | Field | Year |
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Moerdijk, Ieke | |
Mrčun, Janez | 11686 |
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