Pregled bibliografske jedinice broj: 239011
Ore localization for construction of quantum coset spaces
Ore localization for construction of quantum coset spaces // Noncommutative geometry and quantum groups
Varšava, Poljska, 2001. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
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Naslov
Ore localization for construction of quantum coset spaces
Autori
Škoda, Zoran
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Noncommutative geometry and quantum groups
Mjesto i datum
Varšava, Poljska, 17.09.2001. - 29.09.2001
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Hopf algebra; Ore localization; homogeneous space
(Hopf algbera; Ore localization; homogeneous space)
Sažetak
In algebraic geometry the coset spaces of affine algebraic groups are in general not affine but rather only quasiprojective varieties. Hence the affine coordinate ring of a coset space does not adequately represent that space in general and one uses a sheaf-theoretic picture instead. We propose a crude extension of such a sheaf-theoretic description to noncommutative Hopf algebras using covers by well-behaved Ore localizations. A nontrivial example where such a program has been realized involves quantized ring of regular functions on SL(n) modulo quantum parabolics. For that aim we use quantum Gauss decompositions, Weyl group and calculations with quantum minors.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
