38 citations · 156 across the 23 of their papers we have counts for
3 papers · 1 filter
Hopf algebras and characters of classical groups
Ronald C. King, Bertfried Fauser, Peter D. Jarvis
Schur functions provide an integral basis of the ring of symmetric functions. It is shown that this ring has a natural Hopf algebra structure by identifying the appropriate product…
Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes
Ronald C. King, Trevor A. Welsh, Stephanie J. van Willigenburg
Some new relations on skew Schur function differences are established both combinatorially using Schützenberger's jeu de taquin, and algebraically using Jacobi-Trudi determinants.…
The Hopf Algebra Structure of the Character Rings of Classical Groups
Bertfried Fauser, Peter D. Jarvis, Ronald C. King
The character ring \CGL of covariant irreducible tensor representations of the general linear group admits a Hopf algebra structure isomorphic to the Hopf algebra \Sym$ of symmetri…