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of 78 433
pro vyhledávání: '"A A Fomin"'
We compute the truncated point schemes of subalgebras of Fomin-Kirillov algebras associated with certain graphs. While Fomin-Kirillov algebras do not admit any truncated point modules, we prove a tight bound on the degrees of truncated point modules
Externí odkaz:
http://arxiv.org/abs/2410.16578
Autor:
Herscovich, Estanislao, Li, Ziling
In this article we show that, given a quadratic algebra satisfying some assumptions, which we call having a resolving datum, one can construct a projective resolution of the trivial module which is obtained as iterated cones of Koszul complexes, and
Externí odkaz:
http://arxiv.org/abs/2309.02611
Autor:
Paradan, Paul-Emile
We withdraw this note because our calculation of the A(3,3) example, which initially contradicted one of the results of a 2005 paper by Fomin-Fulton-Li-Poon, was incorrect. In the second version of the prepublication arXiv:2303.11653, we explain how
Externí odkaz:
http://arxiv.org/abs/2208.13531
Autor:
Herscovich, Estanislao, Li, Ziling
The goal of this article is to compute the Gerstenhaber bracket of the Hochschild cohomology of the Fomin-Kirillov algebra on three generators over a field of characteristic different from $2$ and $3$. This is in part based on a general method we int
Externí odkaz:
http://arxiv.org/abs/2204.04975
Autor:
Andrii Shapoval
Publikováno v:
Київські історичні студії, Vol 2, Iss 15, Pp 140-148 (2022)
The article analyzes the plot lines of the letters of the outstanding botanist, specialist in the field of plant physiology V. Lyubimenko to the director of the Botanical Garden of Kyiv University and the Institute of Botany of the All-Ukrainian Acad
Externí odkaz:
https://doaj.org/article/4a68e51cdeb741f5b475887d3ad6ed1a
Autor:
Herscovich, Estanislao, Li, Ziling
The goal of this article is to explicitly compute the Hochschild (co)homology of the Fomin-Kirillov algebra on three generators over a field of characteristic different from 2 and 3. We also obtain the cyclic (co)homology of the Fomin-Kirillov algebr
Externí odkaz:
http://arxiv.org/abs/2112.01201
Autor:
Homayouni, Sirous
We introduce a quotient of Fomin-Kirillov algebra $FK(n)$ denoted $\overline{FK}_{C_n}(n)$, over the ideal generated by the edges of a complete graph on n vertexes that are missing in the $n$-cycle graph $C_n$. For this quotient algebra $\overline{FK
Externí odkaz:
http://arxiv.org/abs/2111.10982
Akademický článek
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Autor:
Bärligea, Christoph
In 1999, Fomin-Kirillov introduced the quadratic algebras $\mathcal{E}_m$ in terms of generators and relations which are the universal quadratic cover of the algebra generated by divided difference operators $\partial_{ij}$ acting on the polynomial r
Externí odkaz:
http://arxiv.org/abs/2001.04597
Autor:
Alexander, Phil
Publikováno v:
Shofar, 2019 Jan 01. 37(3), 19-58.
Externí odkaz:
https://www.jstor.org/stable/10.5703/shofar.37.3.0019