11 citations · 16 across the 4 of their papers we have counts for
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math.RT2022★ 1 cited
Skew Howe duality and q-Krawtchouk polynomial ensemble
Anton Nazarov, Pavel Nikitin, Daniil Sarafannikov
We consider the decomposition into irreducible components of the exterior algebra regarded as a $GL_{n…
math.RT2012★ 1 cited
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…
math.RT2010★ 11 cited
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…