On Generalization of Special Functions Related to Weyl Groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F16%3A43902513" target="_blank" >RIV/60461373:22340/16:43902513 - isvavai.cz</a>
Result on the web
<a href="https://ojs.cvut.cz/ojs/index.php/ap/article/view/3511" target="_blank" >https://ojs.cvut.cz/ojs/index.php/ap/article/view/3511</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/AP.2016.56.0440" target="_blank" >10.14311/AP.2016.56.0440</a>

Result language
angličtina
Original language name
On Generalization of Special Functions Related to Weyl Groups
Original language description
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and discrete orthogonality. A crucial tool in their definition are so-called sign homomorphisms, which coincide with one-dimensional irreducible representations. In this work we generalize the definition of orbit functions using characters of irreducible representations of higher dimensions. We describe their properties and give examples for Weyl groups of rank 2 and 3.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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