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).
Hunt’s formula for SUq(N) and Uq(N)
Michael Skeide
2023-01-01
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).File in questo prodotto:
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