5 citations · 10 across the 3 of their papers we have counts for
3 papers
math.RT2017★ 3 cited
Contravariant form for reduction algebras and Pieri rule
S. Khoroshkin, O. Ogievetsky
We study properties and constructions of contravariant forms on reduction algebras. As an application we compute norms of highest weight vectors in the tensor product of an irreduc…
math.RT2015★ 5 cited
Diagonal reduction algebra and reflection equation
S. Khoroshkin, O. Ogievetsky
We describe the diagonal reduction algebra D(gl(n)) of the Lie algebra gl(n) in the R-matrix formalism. As a byproduct we present two families of central elements and the braided b…
math.RT2009★ 2 cited
Diagonal reduction algebras of $\gl$ type
Sergey Khoroshkin, Oleg Ogievetsky
Several general properties, concerning reduction algebras - rings of definition and algorithmic efficiency of the set of ordering relations - are discussed. For the reduction algeb…