11 citations · 61 across the 18 of their papers we have counts for
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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★ 10 cited
Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Anton Nazarov
In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms…
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…