123 citations · 249 across the 30 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.RT2011★ 2 cited
Fan, splint and branching rules
Vladimir Laykhovsky, Anton Nazarov
Splint of root system for simple Lie algebra appears naturally in studies of (regular) embeddings of reductive subalgebras. Splint can be used to construct branching rules. We demo…
math.RT2011★ 12 cited
Tensor powers for non-simply laced Lie Algebras case
Petr P. Kulish, Vladimir D. Lyakhovsky, Olga P. Postnova
We study the decomposition problem for tensor powers of -fundamental modules. To solve this problem singular weight technique and injection fan algorithms are applied. Propert…
math.RT2011★ 2 cited
Recursive properties of branching and BGG resolution
Vladimir Lyakhovsky, Anton Nazarov
Recurrent relations for branching coefficients are based on a special type of singular element decomposition. We show that this decomposition can be used to construct the parabolic…