Pregled bibliografske jedinice broj: 256785
Realizations of noncommutative spaces
Realizations of noncommutative spaces // Proceedings of the IV Summer School in Modern Mathematical Physics
Beograd, Srbija, 2006. (pozvano predavanje, nije recenziran, sažetak, ostalo)
CROSBI ID: 256785 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Realizations of noncommutative spaces
Autori
Škoda, Zoran
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo
Izvornik
Proceedings of the IV Summer School in Modern Mathematical Physics
/ - , 2006
Skup
IV Summer School in Modern Mathematical Physics
Mjesto i datum
Beograd, Srbija, 03.09.2006. - 14.09.2006
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
noncommutative space; localization; gluing; representation
Sažetak
Most of the physics applications of noncommutative geometry are done calculating in one local system of noncommutative coordinates, i.e. a point of view is taken that the noncommutative space is described by a single noncommutative algebra. Sometimes in practice noncommutative spaces are either glued from many such pieces or appear as objects living relatively over some known space or algebra, or as deformations of known objects, or even represented solely in categorical terms. I will show several examples from my own work and collaborations, with appropriate background and context, where we need and realize spaces via noncommutative gluing, then of noncommutative relative schemes, as well as our recent realization of all Lie algebra type spaces via deformations within algebras of differential operators.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
