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Hunt's formula for SUq(N) and Uq(N)

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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<mark>Journal publication date</mark>2/09/2023
<mark>Journal</mark>Indiana University Mathematics Journal
Issue number4
Volume72
Number of pages32
Pages (from-to)1717-1748
Publication StatusPublished
<mark>Original language</mark>English

Abstract

For any Lévy process on the quantum group SUq(N), where 0 < q < 1 and N ∈ N,
a Lévy-Khintchine type decomposition of its generating functional is given, together with an analogue of Hunt's formula. The non-gaussian component is shown to further decompose into generating functionals that live on the quantum subgroups SUq(n), for n <= N. Corresponding results are also given for the quantum groups Uq(N).