Separation of variables in the semistable range
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404226" target="_blank" >RIV/00216208:11320/19:10404226 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-23854-4_19" target="_blank" >https://doi.org/10.1007/978-3-030-23854-4_19</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-23854-4_19" target="_blank" >10.1007/978-3-030-23854-4_19</a>
Alternative languages
Result language
angličtina
Original language name
Separation of variables in the semistable range
Original language description
In this paper, we give an alternative proof of separation of variables for scalar-valued polynomials in the semistable range for the symmetry given by the orthogonal group. It turns out that uniqueness of the decomposition of polynomials into spherical harmonics is equivalent to irreducibility of generalized Verma modules for the symplectic algebra generated by spherical harmonics. We believe that this approach might be applied to the case of spinor-valued polynomials and to other settings as well.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-01171S" target="_blank" >GA17-01171S: Invariant differential operators and their applications in geometric modelling and control theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Topics in Clifford Analysis
ISBN
978-3-030-23853-7
Number of pages of the result
9
Pages from-to
395-403
Number of pages of the book
524
Publisher name
Birkhäuser, Cham
Place of publication
Cham
UT code for WoS chapter
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