38 citations · 156 across the 23 of their papers we have counts for
4 papers · 1 filter
Plethystic Vertex Operators and Boson-Fermion Correspondences
Bertfried Fauser, Peter D Jarvis, Ronald C King
We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associate…
Ribbon Hopf algebras from group character rings
Bertfried Fauser, Peter D. Jarvis, Ronald C. King
We study the diagram alphabet of knot moves associated with the character rings of certain matrix groups. The primary object is the Hopf algebra Char-GL of characters of the finite…
Plethysms, replicated Schur functions and series, with applications to vertex operators
Bertfried Fauser, Peter D Jarvis, Ronald C King
Specializations of Schur functions are exploited to define and evaluate the Schur functions s_λ[αX] and plethysms s_λ[αs_ν(X))] for any α- integer, real or complex. Plethysms are t…
New branching rules induced by plethysm
B. Fauser, P. D. Jarvis, R. C. King +1
We derive group branching laws for formal characters of subgroups of GL(n) leaving invariant an arbitrary tensor of Young symmetry type where is an integer part…