123 citations · 249 across the 30 of their papers we have counts for
30 papers
On affine extension of splint root systems
Vladimir Laykhovsky, Anton Nazarov
Splint of root system of simple Lie algebra appears naturally in the study of (regular) embeddings of reductive subalgebras. It can be used to derive branching rules. Application o…
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…
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…
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…
Recursive algorithm and branching for nonmaximal embeddings
Vladimir Lyakhovsky, Anton Nazarov
Recurrent relations for branching coefficients in affine Lie algebras integrable highest weight modules are studied. The decomposition algorithm based on the injection fan techniqu…
Twists in U(sl(3)) and their quantizations
P. P. Kulish, V. D. Lyakhovsky, M. E. Samsonov
The solution of the Drinfeld equation corresponding to the full set of different carrier subalgebras in sl(3) are explicitly constructed. The obtained Hopf structures are studied.…