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pro vyhledávání: '"Safonkin, A."'
Autor:
Olshanski, Grigori, Safonkin, Nikita
Publikováno v:
Letters in Mathematical Physics 114 (2024), paper 33
Let $\Bbbk$ be an algebraically closed field of characteristic $0$ and $A$ be a finitely generated associative $\Bbbk$-algebra, in general noncommutative. One assigns to $A$ a sequence of commutative $\Bbbk$-algebras $\mathcal{O}(A,d)$, $d=1,2,3,\dot
Externí odkaz:
http://arxiv.org/abs/2310.01086
Autor:
Olshanski, Grigori, Safonkin, Nikita
Publikováno v:
Functional Analysis and its Applications 57:4 (2023), 326-336
This short note is an announcement of results. We continue the study of Yangian-type algebras initiated in the paper arXiv:2208.04809. These algebras share a number of properties of the Yangians of type A but are more massive. We refine and substanti
Externí odkaz:
http://arxiv.org/abs/2308.13325
Autor:
Nikitin, Pavel, Safonkin, Nikita
Indecomposible semifinite harmonic functions on the direct product of graded graphs are classified. As a particular case, the full list of indecomposible traces for the infinite inverse symmetric semigroup is obtained.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/2209.05901
Autor:
Safonkin, Nikita
We study semifinite harmonic functions on the zigzag graph, which corresponds to Pieri's rule for the fundamental quasisymmetric functions $\{F_{\lambda}\}$. The main problem, which we solve here, is to classify the indecomposable semifinite harmonic
Externí odkaz:
http://arxiv.org/abs/2110.01508
Autor:
Safonkin, Nikita
We study semifinite harmonic functions on arbitrary branching graphs. We give a detailed exposition of an algebraic method which allows one to classify semifinite indecomposable harmonic functions on some multiplicative branching graphs. This method
Externí odkaz:
http://arxiv.org/abs/2108.07850
Autor:
Safonkin, Nikita
We study the Gnedin-Kingman graph, which corresponds to Pieri's rule for the monomial basis $\{M_{\lambda}\}$ in the algebra $\mathrm{QSym}$ of quasisymmetric functions. The paper contains a detailed announcement of results concerning the classificat
Externí odkaz:
http://arxiv.org/abs/2103.02257
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Akademický článek
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Publikováno v:
Biology Bulletin; Dec2024, Vol. 51 Issue 6, p1731-1739, 9p
