The paper consists of two parts: (1) "As a foreword: A tiny miscellany of reminiscences" - the dedication to K. B. Tolpygo and V. A. Telezhkin; and then (2) Algebraic Invariants And Quantum Mechanics, where a program for constructing the nonclassical algebraic structures and a quantization scheme are proposed by analogy with the Klein geometric program. In this context the group of affine canonical transformations is considered in detail. An application to theory of nonlinear wave equations represented as a pair of p-polynomials on a nonclassical algebraic structure is outlined.
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