Generating functions for tensor product decomposition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00209656" target="_blank" >RIV/68407700:21340/13:00209656 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1742-6596/474/1/012018" target="_blank" >http://dx.doi.org/10.1088/1742-6596/474/1/012018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/474/1/012018" target="_blank" >10.1088/1742-6596/474/1/012018</a>

Result language
angličtina
Original language name
Generating functions for tensor product decomposition
Original language description
The paper deals with the tensor product decomposition problem. Tensor product decompositions are of great importance in the quantum physics. A short outline of the state of the art for the of semisimple Lie groups is mentioned. The generality of generating functions is used to solve tensor products. The corresponding generating function is rational. The feature of this technique lies in the fact that the decompositions of all tensor products of all irreducible representations are solved simultaneously.Obtaining the generating function is a difficult task in general. We propose some changes to an algorithm using Patera-Sharp character generators to find this generating function, which simplifies the whole problem to simple operations over rational functions.
Czech name
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Czech description
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Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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