According to the characterization of MS-algcbras from the subvariety Kz by mean of the triple construction, we characterize the homomorphisms and the subalgcbras of the MS-algcbras. Also, we solve the "Fill-in" problem for the associated triples.

A review is given of some 2-dimensional metrics for which noncommutative versions have been found. They serve partially to illustrate a noncommutative extension of the moving-frame formalism. PACS: 02.40.Gh, 04.60.Kz ESI preprint 1467

It is known that solutions of the KZ equations can be written in form multidimensional hypergeometric integrals. In 2017 a joint paper author with V. Schechtman, construction was modified, and modulo prime number p were constructed. These p, called p-hypergeometric solutions, are polynomials integer coefficients. A general problem to determine independent understand meaning number. this paper, ...

We begin the study of unitary representations in the lowest weight category of rational Cherednik algebras of complex reflection groups. We provide the complete classification of unitary representations for the symmetric group, the dihedral group, as well as some additional partial results. We also study the unitary representations of Hecke algebras of complex reflection groups and provide a co...

Pattern Sturmian words introduced by Kamae and Zamboni KZ KZ are an analogy of Sturmian words for the maximal pattern com plexity instead of the block complexity So far two kinds of recur rent pattern Sturmian words are known namely rotation words and Toeplitz words But neither a structural characterization nor a reason able classi cation of the recurrent pattern Sturmian words is known In this...