4 papers · 1 filter
Symmetric Functions and Representations of Quantum Affine Algebras
Vyjayanthi Chari, Michael Kleber
We study connections between the ring of symmetric functions and the characters of irreducible finite-dimensional representations of quantum affine algebras. We study two families…
Embeddings of Schur functions into types B/C/D
Michael Kleber
We consider the problem of embedding the semi-ring of Schur-positive symmetric polynomials into its analogue for the classical types . If we preserve highest weights and add…
Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations
Markus Fulmek, Michael Kleber
We present a ``method'' for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi--Trudi identity. We illustrate…
Tournament Sequences and Meeussen Sequences
Matthew Cook, Michael Kleber
A "tournament sequence" is an increasing sequence of positive integers (t_1,t_2,...) such that t_1=1 and t_{i+1} <= 2 t_i. A "Meeussen sequence" is an increasing sequence of positi…