Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Coll Vincent"'
Publikováno v:
Discussiones Mathematicae Graph Theory, Vol 40, Iss 1, Pp 107-125 (2020)
A proper edge-coloring of a graph is a coloring in which adjacent edges receive distinct colors. A path is properly colored if consecutive edges have distinct colors, and an edge-colored graph is properly connected if there exists a properly colored
Externí odkaz:
https://doaj.org/article/d09c2df232604a2bb9a3aa5e94087cf9
Publikováno v:
In Journal of Algebra 1 December 2024 659:811-817
We provide a combinatorial recipe for constructing all posets of height at most two for which the corresponding type-A Lie poset algebra is contact. In the case that such posets are connected, a discrete Morse theory argument establishes that the pos
Externí odkaz:
http://arxiv.org/abs/2012.07200
Publikováno v:
Pacific J. Math. 320 (2022) 45-60
A ($2k+1$)$-$dimensional contact Lie algebra is one which admits a one-form $\varphi$ such that $\varphi \wedge (d\varphi)^k\ne0$. Such algebras have index one, but this is not generally a sufficient condition. Here we show that index-one type-A seaw
Externí odkaz:
http://arxiv.org/abs/2010.13284
We establish combinatorial formulas for the index of a class of matrix Lie algebras whose matrix forms are encoded by strict partial orderings.
Externí odkaz:
http://arxiv.org/abs/2004.08512
We show that the isomorphism class of a two-step solvable Lie poset subalgebra of a semisimple Lie algebra is determined by its dimension. We further establish that all such algebras are absolutely rigid.
Externí odkaz:
http://arxiv.org/abs/2004.00169
Publikováno v:
In Expositiones Mathematicae December 2023 41(4)
Autor:
Coll, Vincent, Mayers, Nicholas
We introduce a family of posets which generate Lie poset subalgebras of $A_{n-1}=\mathfrak{sl}(n)$ whose index can be realized topologically. In particular, if $\mathcal{P}$ is such a \textit{toral poset}, then it has a simplicial realization which i
Externí odkaz:
http://arxiv.org/abs/1909.12918
Using the index theory of seaweed algebras, we explore various new integer partition statistics. We find relations to some well-known varieties of integer partitions as well as a surprising periodicity result.
Externí odkaz:
http://arxiv.org/abs/1809.09271
Publikováno v:
In Journal of Combinatorial Theory, Series A January 2021 177