Abstract
In this chapter, we outline a picture of spec0 q (G)originating in work of Soibelman and Vaksman[196, 197, 205]as extended by Hodges-Levasseur[94, 95],Joseph[115, 116],and Hodges-Levasseur-Toro[96].We then use this information to determine the H-stratification of spec0 q (G).The original results were proved under the assumptions that eitherk =C andqE CXis not a root of unity, or char(k) = 0 andqEkXis transcendental over Q, but most of the proofs carry over to the general situation. Since a great deal of calculation is involved, we mainly establish notation here and cite results without presenting proofs. In choice of notation and formulation, we follow the single parameter (untwisted) case of[96],but with cross-references to[116].
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© 2002 Springer Basel AG
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Brown, K.A., Goodearl, K.R. (2002). Prime Ideals in O q (G). In: Lectures on Algebraic Quantum Groups. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8205-7_20
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DOI: https://doi.org/10.1007/978-3-0348-8205-7_20
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6714-5
Online ISBN: 978-3-0348-8205-7
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