Zobrazeno 1 - 10
of 609
pro vyhledávání: '"Dimitrov, Ivan"'
We provide a recursive description of all decompositions of the positive roots $R^+$ of a quotient root system $R$ into disjoint unions of inversion sets. Our description is type-independent and generalizes the analogous result for type $\mathbb A$ r
Externí odkaz:
http://arxiv.org/abs/2310.16767
We prove that over an algebraically closed field $\mathbb{K}$ of characteristic different from $2$, the group algebra $R=\mathbb{K} D_\infty$ of the infinite dihedral group $D_\infty$ has exactly six conjugacy classes of involutions (equivalently, of
Externí odkaz:
http://arxiv.org/abs/2310.09591
Autor:
Dimitrov, Ivan, Fioresi, Rita
We generalize the notion of a root system by relaxing the conditions that ensure that it is invariant under reflections and study the resulting structures, which we call generalized root systems (GRSs for short). Since both Kostant root systems and r
Externí odkaz:
http://arxiv.org/abs/2308.06852
Autor:
Dimitrov, Ivan, Zhang, Runxuan
In this paper, we study the existence and classification problems of left-symmetric superalgebras on special linear Lie superalgebras ${\mathfrak{sl}}(m|n)$ with $m\neq n$. The main three results of this paper are: (i) a complete classification of th
Externí odkaz:
http://arxiv.org/abs/2208.06502
Autor:
Buchanan, Andrew, Dimitrov, Ivan, Grace, Olivia, Paquette, Charles, Wehlau, David, Xu, Tianyuan
Let $\mathbb{K}$ denote an algebraically closed field and $A$ a free product of finitely many semisimple associative $\mathbb{K}$-algebras. We associate to $A$ a finite acyclic quiver $\Gamma$ and show that the category of finite dimensional $A$-modu
Externí odkaz:
http://arxiv.org/abs/2205.08917
Autor:
Sotirov, Stanislav1 (AUTHOR) 113660@students.mu-sofia.bg, Dimitrov, Ivan1 (AUTHOR) idimitrov@pharmfac.mu-sofia.bg
Publikováno v:
International Journal of Molecular Sciences. May2024, Vol. 25 Issue 9, p4934. 21p.
Autor:
Buchanan, Andrew, Dimitrov, Ivan, Grace, Olivia, Paquette, Charles, Wehlau, David, Xu, Tianyuan
Publikováno v:
In Journal of Pure and Applied Algebra April 2024 228(4)
We study the subregular $J$-ring $J_C$ of a Coxeter system $(W,S)$, a subring of Lusztig's $J$-ring. We prove that $J_C$ is isomorphic to a quotient of the path algebra of the double quiver of $(W,S)$ by a suitable ideal that we associate to a family
Externí odkaz:
http://arxiv.org/abs/2101.06851
Autor:
Doneva, Nikolet1 (AUTHOR) ndoneva@pharmfac.mu-sofia.bg, Dimitrov, Ivan1 (AUTHOR) idimitrov@pharmfac.mu-sofia.bg
Publikováno v:
International Journal of Molecular Sciences. Mar2024, Vol. 25 Issue 5, p2949. 13p.
Autor:
Dimitrov, Ivan, Zhang, Runxuan
Publikováno v:
In Journal of Algebra 1 December 2023 635:384-410