Commutativity of missing label operators in terms of Berezin brackets
نویسنده
چکیده
We obtain a criterion on the commutativity of polynomials in the enveloping algebra of a Lie algebra in terms of an involution condition with respect to the Berezin bracket. As an application, it is shown that the commutativity requirement of missing label operators for reduction chains in the missing label problem can be solved analytically. PACS numbers: 02.20Sv, 21.60Fw
منابع مشابه
kTH-ORDER SLANT TOEPLITZ OPERATORS ON THE FOCK SPACE
The notion of slant Toeplitz operators Bφ and kth-order slant Toeplitz operators B φ on the Fock space is introduced and some of its properties are investigated. The Berezin transform of slant Toeplitz operator Bφ is also obtained. In addition, the commutativity of kth-order slant Toeplitz operators with co-analytic and harmonic symbols is discussed.
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