38 citations · 156 across the 23 of their papers we have counts for
25 papers
Generating functions for some series of characters of classical Lie groups
Ronald C. King
There exist a number of well known multiplicative generating functions for series of Schur functions. Amongst these are some related to the dual Cauchy identity whose expansion coe…
Stretched Newell-Littlewood coefficients
Ronald C King
Newell-Littlewood coefficients are the multiplicities occurring in the decomposition of products of universal characters of the orthogonal and symplectic groups. They m…
Factorial supersymmetric skew Schur functions and ninth variation determinantal identities
Angèle M. Foley, Ronald C. King
The determinantal identities of Hamel and Goulden have recently been shown to apply to a tableau-based ninth variation of skew Schur functions. Here we extend this approach and its…
Determinantal and Pfaffian identities for ninth variation skew Schur functions and Q-functions
Angèle M. Foley, Ronald C. King
Recently Okada defined algebraically ninth variation skew Q-functions, in parallel to Macdonald's ninth variation skew Schur functions. Here we introduce a skew shifted tableaux de…
Factorial characters of classical Lie groups and their combinatorial realisations
Angèle M. Hamel, Ronald C. King
Just as the definition of factorial Schur functions as a ratio of determinants allows one to show that they satisfy a Jacobi-Trudi-type identity and have an explicit combinatorial…
Factorial characters of some classical Lie groups
Angèle Hamel, Ronald King
A definition is offered of the factorial characters of the general linear group, the symplectic group and the orthogonal group in an odd dimensional space. It is shown that these c…