Dirac Operators for the Dunkl Angular Momentum Algebra
نویسندگان
چکیده
We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements group Pin cover Weyl inherent to rational Cherednik algebra. prove an analogue Vogan's conjecture this and use show that cohomology, when non-zero, determines character representations Furthermore, interpreting in framework (deformed) Howe dualities, we natural element yields, up scalars, square root part Calogero-Moser Hamiltonian.
منابع مشابه
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ژورنال
عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications
سال: 2022
ISSN: ['1815-0659']
DOI: https://doi.org/10.3842/sigma.2022.040