Zobrazeno 1 - 10
of 1 385
pro vyhledávání: '"A. Lopatkin"'
In this paper, we find the Hochschild cohomology groups of the universal associative conformal envelope $U(3)$ of the Virasoro Lie conformal algebra with respect to associative locality $N=3$ on the generator with coefficients in all finite modules.
Externí odkaz:
http://arxiv.org/abs/2411.00812
For a finite set of homogeneous locally nilpotent derivations of the algebra of polynomials in several variables, a finite dimensionality criterion for the Lie algebra generated by these derivations is known. Also the structure of the corresponding f
Externí odkaz:
http://arxiv.org/abs/2408.05627
Autor:
Connor L. Brown, Ayella Maile-Moskowitz, Allison J. Lopatkin, Kang Xia, Latania K. Logan, Benjamin C. Davis, Liqing Zhang, Peter J. Vikesland, Amy Pruden
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-13 (2024)
Abstract Activated sludge is the centerpiece of biological wastewater treatment, as it facilitates removal of sewage-associated pollutants, fecal bacteria, and pathogens from wastewater through semi-controlled microbial ecology. It has been hypothesi
Externí odkaz:
https://doaj.org/article/9f3bda52113542b285de3569d1d6ca5c
Two recent publications describe realizable Gauss diagrams using conditions stating that the number of chords in certain sets of chords is even or odd. We demonstrate that these descriptions are incorrect by finding multiple counter-examples. However
Externí odkaz:
http://arxiv.org/abs/2212.07140
Transposed Poisson structures on complex Galilean type Lie algebras and superalgebras are described. It was proven that all principal Galilean Lie algebras do not have non-trivial $\frac{1}{2}$-derivations and as it follows they do not admit non-triv
Externí odkaz:
http://arxiv.org/abs/2209.00264
Autor:
Lopatkin, Viktor
We give a bijection between meanders and special sorts of Gauss diagrams which aroused from the Thurston generators of braid groups. It allows us to give an algorithm to construct such diagrams and to code meanders by matrices which are exactly incid
Externí odkaz:
http://arxiv.org/abs/2208.09752
We apply discrete algebraic Morse theory to the computation of Hochschild cohomologies of associative conformal algebras. As an example, we evaluate the dimensions of the universal associative conformal envelope $U(3)$ of the Virasoro Lie conformal a
Externí odkaz:
http://arxiv.org/abs/2204.10837
Autor:
Lopatkin, Viktor
This paper shows how to obtain the key concepts and notations of Garside theory by using the Composition--Diamond lemma. We also show in some cases the greedy normal form is exactly a Gr\"obner--Shirshov normal form and a family of a left-cancellativ
Externí odkaz:
http://arxiv.org/abs/2109.07595
Chord diagrams, under the name of Gauss diagrams, are used in low-dimensional topology as an important tool for studying curves or knots. Those Gauss diagrams that correspond to curves or knots are called realizable. The theme of our paper is the fac
Externí odkaz:
http://arxiv.org/abs/2108.02873
Autor:
Connor L. Brown, Ayella Maile-Moskowitz, Allison J. Lopatkin, Kang Xia, Latania K. Logan, Benjamin C. Davis, Liqing Zhang, Peter J. Vikesland, Amy Pruden
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-1 (2024)
Externí odkaz:
https://doaj.org/article/a7a7dd4bce194a7c80eb3f2b02db57e1