Quantum Grassmann manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F93%3A00190963" target="_blank" >RIV/68407700:21340/93:00190963 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/BF02097235" target="_blank" >http://dx.doi.org/10.1007/BF02097235</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/BF02097235" target="_blank" >10.1007/BF02097235</a>

Result language
angličtina
Original language name
Quantum Grassmann manifolds
Original language description
Orbits of the quantum dressing transformation for SUq(N) acting on its solvable dual are introduced. The case is considered when the corresponding classical orbits coincide with Grassmann manifolds. Quantization of the Poisson bracket on a Zariski open subset of the Grassmann manifold yields a *-algebra generated by the quantum coordinate functions. The commutation relations are written in a compact form with the help of the R-matrix. Finite-dimensional irreducible representations of Uh(sl(N,C)) are derived from the *-algebra structure.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA202%2F93%2F1314" target="_blank" >GA202/93/1314: Nonlinear Models in Quantum Physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
1993
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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