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Tensor product decomposition for rank-one spin groups I : unitary principal series representations [PDF]

open access: yesarXiv
We provide an explicit direct integral decomposition for the tensor product representation $\pi_1\widehat{\otimes}\pi_2$ of the rank one spin group $\mathrm{Spin}(n,1)$ whenever $\pi_1$ is a unitary principal series representation and $\pi_2$ is an arbitrary irreducible unitary representation of $\mathrm{Spin}(n,1)$.
arxiv  

Remarks on positive definite functions on a group [PDF]

open access: yesarXiv
We study the operator-valued positive definite functions on a group using positive block matrices. We give an alternative proof to Brehmer positivity for doubly commuting contractions. We classify all commuting unitary representations over a finite group.
arxiv  

Casting Rubik’s Group into a Unitary Representation for Reinforcement Learning [PDF]

open access: gold, 2023
Sebastiano Corli   +3 more
openalex   +1 more source

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