Mikhail Kochetov

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We re-visited the results of quantum mechanics--molecular mechanics (QM/MM) approaches aiming to construct the reaction energy profile for the acylation stage of acetylcholine hydrolysis by acetylcholinesterase. The main emphasis of this study was on the energy of the first tetrahedral intermediate (TI) relative to the level of the enzyme-substrate (ES)(More)
Our aim is to construct new examples of totally ordered and ∗-ordered noncommutative integral domains. We will discuss the following classes of rings: enveloping algebras U(L), group rings kG and smash products U(L)#φkG. All of them are examples of Hopf algebras. Characterizations of orderability for enveloping algebras and group rings and of ∗-orderability(More)
Known classification results allow us to find the number of fine gradings on matrix algebras and on classical simple Lie algebras over an algebraically closed field (assuming that characteristic is not 2 in the Lie case). The computation is easy for matrix algebras and especially for simple Lie algebras of Series B, but involves counting orbits of certain(More)
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