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We proceed with the investigation of a method of quantization of theobservable sector of closed bosonic strings. For the presentation of thequantum algebra of observables the construction cycle concerning elements oforder \hbar^6 has been carried out. We have computed the quantum corrections tothe only generating relation of order \hbar^6. This relation is of spin-parityJ^P=0^+. We found that the quantum corrections to this relation break thesemidirect splitting of the classical algebra into an abelian, infinitelygenerated subalgebra a and a non-abelian, finitely generated subalgebra U. Wehave established that there are no ("truly independent") generating relationsof order \hbar^7.Comment: It has been pointed out to the authors that there is a typing error  in the factor in front of g2 in the second last line of the formula in the  appendix. This factor has been corrected in this new version. 8 pages,  appendix to appear in electronic version onl

modern physics letters a

THE PRESENTATION OF THE QUANTUM ALGEBRA OF OBSERVABLES OF THE CLOSED BOSONIC STRING IN 1+3 DIMENSIONS: THE EXACT QUANTIZED GENERATING RELATIONS OF ORDERS ℏ<sup>6</sup> AND ℏ<sup>7</sup>

THE PRESENTATION OF THE QUANTUM ALGEBRA OF OBSERVABLES OF THE CLOSED BOSONIC STRING IN 1+3 DIMENSIONS: THE EXACT QUANTIZED GENERATING RELATIONS OF ORDERS ℏ6 AND ℏ7

THE PRESENTATION OF THE QUANTUM ALGEBRA OF OBSERVABLES OF THE CLOSED BOSONIC STRING IN 1+3 DIMENSIONS: THE EXACT QUANTIZED GENERATING RELATIONS OF ORDERS ℏ⁶ AND ℏ⁷