Discretization of Symmetric Weyl Orbit Functions of the Root System A3 on Non-shifted Lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00387071" target="_blank" >RIV/68407700:21340/25:00387071 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1742-6596/3152/1/012009" target="_blank" >https://doi.org/10.1088/1742-6596/3152/1/012009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/3152/1/012009" target="_blank" >10.1088/1742-6596/3152/1/012009</a>

Result language
angličtina
Original language name
Discretization of Symmetric Weyl Orbit Functions of the Root System A3 on Non-shifted Lattices
Original language description
Associated with the irreducible crystallographic root system $A_3$, discretizations of symmetric Weyl orbit functions emerging from generic types of invariant lattices are reviewed. Utilizing an overview of pertinent properties of the root system $A_3$, its Weyl group orbit and corresponding Weyl group invariant lattices are presented. Generalized affine Weyl groups are introduced and described together with their fundamental domains. The symmetric Weyl orbit functions of $A_3$ are recalled and their discrete orthogonality relations on fragments of rescaled non-shifted invariant lattices are inspected. The corresponding unitary transform matrices are provided in general form, including two explicit examples.
Czech name
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Czech description
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Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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