Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups and complexification

التفاصيل البيبلوغرافية
العنوان: Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups and complexification
المؤلفون: Lee, Heon, Voigt, Christian
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Operator Algebras, Mathematics - Functional Analysis, Mathematics - Quantum Algebra, 46L67, 20G42 (Primary) 43A30 (Secondary)
الوصف: We study Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups. In particular, we show that the space of irreducible representations of the function algebras of their Drinfeld doubles is exhausted by the irreducible representations of weighted Fourier algebras associated to a certain family of central weights.
Comment: 18 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.02132
رقم الأكسشن: edsarx.2407.02132
قاعدة البيانات: arXiv