Gaetano Fiore
New Approach to Hermitian q-Differential Operators on $R_q^N$
Preprint series: ESI preprints

MSC:

81R50 Quantum groups and related algebraic methods, See Also {16W30, 17B37}

17B37 Quantum groups and related deformations, See also {16W30, 81R50, 82B23}

Abstract: We report on our recent breakthrough \cite{Fio04} in the costruction
for $q\!>\!0$ of Hermitean and ``tractable'' differential operators out
of the $U_qso(N)$-covariant differential calculus on the
noncommutative manifolds $\b{R}_q^N$
(the socalled ``quantum Euclidean spaces'').
Keywords: quantum algebra, differential geometry, mathematical physics