2 papers
math.CO2022
The continualization approach to the on-line hypergraph coloring
Margarita Akhmejanova, Ilya Bogdanov, Grigory Chelnokov
The paper deals with an algorithmic problem concerning combinatorial game theory. Here we introduce and analyze a continuous generalization of Chip Game from the work of Duraj, Gut…
math.AG2011
Simple Modules of Exceptional Groups with Normal Closures of Maximal Torus Orbits
Ilya I. Bogdanov, Karine G. Kuyumzhiyan
Let G be an exceptional simple algebraic group, and let T be a maximal torus in G. In this paper, for every such G, we find all simple rational G-modules V with the following prope…