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Samenvatting

We define for real q a unital ∗-algebra Uq(sl(2,R)) quantizing the universal enveloping ∗-algebra of sl(2,R). The ∗-algebra Uq(sl(2,R)) is realized as a ∗-subalgebra of the Drinfeld double of Uq(su(2)) and its dual Hopf ∗-algebra Oq(SU(2)), generated by the equatorial Podleś sphere coideal ∗-subalgebra Oq(K∖SU(2)) of Oq(SU(2)) and its associated orthogonal coideal ∗-subalgebra Uq(k)⊆Uq(su(2)). We then classify all the irreducible ∗-representations of Uq(sl(2,R))
Originele taal-2English
Pagina's (van-tot)443-470
Aantal pagina's28
TijdschriftJournal of Operator Theory
Volume91
Nummer van het tijdschrift2
DOI's
StatusPublished - 2024

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