209 citations · 1.2k across the 68 of their papers we have counts for
Showing 1996 · q-algShow all
3 papers · 2 filters
q-alg1996★ 34 cited
Shifted Schur functions II. Binomial formula for characters of classical groups and applications
Andrei Okounkov, Grigori Olshanski
Let G be any of the complex classical groups GL(n), SO(2n+1), Sp(2n), O(2n), let g denote the Lie algebra of G, and let Z(g) denote the subalgebra of G-invariants in the universal…
q-alg1996★ 21 cited
Shifted Jack polynomials, binomial formula, and applications
Andrei Okounkov, Grigori Olshanski
In this note we prove an explicit binomial formula for Jack polynomials and discuss some applications of it.
q-alg1996★ 209 cited
Shifted Schur Functions
Andrei Okounkov, Grigori Olshanski
The classical algebra of symmetric functions has a remarkable deformation , which we call the algebra of shifted symmetric functions. In the latter algebra, there is a dis…