Co-Toeplitz Quantization: A Simple Case
The author has introduced in a recent paper a new class of operators, called co-Toeplitz operators, with symbols in a co-algebra. This is the categorical dual to Toeplitz operators which have symbols in an algebra. The mapping from a symbol to its co-Toeplitz operator gives a quantization scheme, called co-Toeplitz quantization. A new, quite simple particular case of co-Toeplitz quantization is introduced in this note. Examples are given in order to show some of its properties.
KeywordsQuantization co-Toeplitz operators co-algebras.
Mathematics Subject Classification (2000)Primary 81S99 Secondary 47B99
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