22 citations · 27 across the 3 of their papers we have counts for
3 papers
math.RT2023
From Young's Lattice to Coinvariants
Eugene Stern
We extend Vershik and Okounkov's inductive spectral approach from irreducible representations of the symmetric group to the left and right regular representation. By following indu…
q-alg1995★ 22 cited
Decomposition of -deformed Fock spaces
Masaki Kashiwara, Tetsuji Miwa, Eugene Stern
A decomposition of the level-one -deformed Fock representations of $\uqn$ is given. It is found that the action of $\upqn$ on these Fock spaces is centralized by a Heisenberg al…
q-alg1995★ 5 cited
Semi-Infinite Wedges and Vertex Operators
Eugene Stern
The level 1 highest weight modules of the quantum affine algebra can be described as spaces of certain semi-infinite wedges. Using a -antisymmetriza…