紧凑半简单李群的 $ q $ 变形的贝林-傅里叶代数和复合化

arXiv - MATH - Quantum Algebra Pub Date : 2024-07-02 DOI:arxiv-2407.02132

Heon Lee, Christian Voigt

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摘要

我们研究了紧凑无复数李群的 $ q $ 变形的布尔林-傅里叶代数。特别是，我们证明了其 Drinfeld 倍的函数代数的不可还原表示空间被与某个中心权重族相关的加权傅里叶代数的不可还原表示所穷尽。

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

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.

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arXiv - MATH - Quantum Algebra

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