A Dolbeault-Dirac Spectral Triple for the B2-Irreducible Quantum Flag Manifold

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10455786" target="_blank" >RIV/00216208:11320/22:10455786 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=v1NjOKr4mq" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=v1NjOKr4mq</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-022-04435-5" target="_blank" >10.1007/s00220-022-04435-5</a>

Result language
angličtina
Original language name
A Dolbeault-Dirac Spectral Triple for the B2-Irreducible Quantum Flag Manifold
Original language description
The quantum version of the Bernstein-Gelfand-Gelfand resolution is used to construct a Dolbeault-Dirac operator on the anti-holomorphic forms of the Heckenberger-Kolb calculus for the B2-irreducible quantum flag manifold. The spectrum and the multiplicities of the eigenvalues of the Dolbeault-Dirac operator are computed. It is shown that this construction yields an equivariant, even, 0+-summable spectral triple.
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
—
OECD FORD branch
10101 - Pure mathematics

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

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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