4 citations · 4 across the 4 of their papers we have counts for
5 papers
Jordan types of triangular matrices over a finite field
Dmitry Fuchs, Alexandre Kirillov
Let be a partition of an integer and be a finite field of order . Let be the number of strictly upper triangular matrices of the Jor…
On the 80th Birthday of Dmitry Borisovich Fuchs
Alice Fialowski, Ekaterina Fuchs, Elena Fuchs +6
This article is a collection of several memories for a special issue of SIGMA devoted to Dmitry Borisovich Fuchs.
Branching Rules For Splint Root Systems
Logan Crew, Alexandre A. Kirillov, Yao-Rui Yeo
A root system is splint if it is a decomposition into a union of two root systems. Examples of such root systems arise naturally in studying embeddings of reductive Lie subalgebras…
On tangent cones of Schubert varieties
Dmitry Fuchs, Alexandre Kirillov, Sophie Morier-Genoud +1
We consider tangent cones of Schubert varieties in the complete flag variety, and investigate the problem when the tangent cones of two different Schubert varieties coincide. We gi…
Compact groups and their representations
Alexandre Kirillov, Alexander Kirillov
This is an overview article on compact Lie groups and their representations, written for the Encyclopedia of Mathematical Physics to be published by Elsevier.