38 citations · 156 across the 23 of their papers we have counts for
4 papers · 1 filter
Hopf Algebras, Distributive (Laplace) Pairings and Hash Products: A unified approach to tensor product decompositions of group characters
Bertfried Fauser, Peter D. Jarvis, Ronald C. King
We show for bicommutative graded connected Hopf algebras that a certain distributive (Laplace) subgroup of the convolution monoid of 2-cochains parameterizes certain well behaved H…
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…
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…
Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n)
Yucai Su, J. W. B. Hughes, R. C. King
To study finite-dimensional modules of the Lie superalgebras, Kac introduced the Kac-modules and divided them into typical or atypical modules according as they are simple or not.…