14 citations · 19 across the 5 of their papers we have counts for
5 papers
Semi-infinite -wedge construction of the level 2 Fock Space of $U_q(\affsl{2})$
Jens-Ulrik Holger Petersen
In this proceedings a particular example from \cite{KMPY} (q-alg/9603025) is presented: the construction of the level 2 Fock space of $\U_q(\affsl{2})$. The generating ideal of the…
Perfect Crystals and q-deformed Fock Spaces
Masaki Kashiwara, Tetsuji Miwa, Jens-Ulrik H. Petersen +1
A general scheme for the wedge construction of q-deformed Fock spaces using the theory of perfect crystals is presented. Let $U_q(\g)$ be a quantum affine algebra. Let be a fin…
Level-0 structure of level-1 -modules and Macdonald polynomials
M. Jimbo, R. Kedem, H. Konno +2
The level- integrable highest weight modules of admit a level- action of the same algebra. This action is defined using the affine Hecke algebra and the…
New Level-0 Action of on Level-1 Modules
M. Jimbo, R. Kedem, H. Konno +2
A level-0 action of is defined on the sum of level-1 irreducible highest weight modules. With the aid of the affine Hecke algebras, this action is realized on…
Representations at a Root of Unity of q-Oscillators and Quantum Kac-Moody algebras
Jens-U. H. Petersen
Here is a list of chapters: 1 Introduction 2 Notation and preliminaries Part I: Finite quantum groups 3 2x2 Matrix quantum groups and the quantum plane 4 Quantum enveloping algebra…