Lars Tuset
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An integral formula for Lie groups, and the Mathieu conjecture reduced to Abelian non-Lie conjectures Open
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An integral formula for Lie groups, and the Mathieu conjecture reduced to Abelian non-Lie conjectures Open
We present an explicit integration formula for the Haar integral on a compact connected Lie group. This formula relies on a known decomposition of a compact connected simple Lie group into symplectic leaves, when one views the group as a P…
Quantization of locally compact groups associated with essentially bijective 1-cocycles Open
Given an extension [Formula: see text] of locally compact groups, with [Formula: see text] abelian, and a compatible essentially bijective [Formula: see text]-cocycle [Formula: see text], we define a dual unitary [Formula: see text]-cocycl…
Quantization of locally compact groups associated with essentially bijective $1$-cocycles Open
Given an extension $0\to V\to G\to Q\to1$ of locally compact groups, with $V$ abelian, and a compatible essentially bijective $1$-cocycle $η\colon Q\to\hat V$, we define a dual unitary $2$-cocycle on $G$ and show that the associated deform…
Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals Open
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik–Zamolodchikov (KZ) equations …
The Mathieu conjecture for $SU(2)$ reduced to an abelian conjecture Open
We reduce the Mathieu conjecture for $SU(2)$ to a conjecture about moments of Laurent polynomials in two variables with single variable polynomial coefficients.
Quantization of subgroups of the affine group Open
Consider a locally compact group such that V is abelian and the action of Q on the dual abelian group has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways:\n(1)\nby reflecting across the G…
Addendum: On deformations of C∗-algebras by actions of Kählerian Lie groups Open
We show that two approaches to equivariant deformation of C[Formula: see text]-algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined by dual [Formula: …
On deformations of C∗-algebras by actions of Kählerian Lie groups Open
We show that two approaches to equivariant strict deformation quantization of C[Formula: see text]-algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps define…
On deformations of C*-algebras by actions of Kahlerian Lie groups Open
We show that two approaches to equivariant strict deformation quantization of C∗-algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined by dual 2-cocycl…