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math.RT1998
Identities for classical group characters of nearly rectangular shape
Christian Krattenthaler
We derive several identities that feature irreducible characters of the general linear, the symplectic, the orthogonal, and the special orthogonal groups. All the identities featur…
math.CO1998
Another involution principle-free bijective proof of Stanley's hook-content formula
Christian Krattenthaler
Another bijective proof of Stanley's hook-content formula for the generating function for semistandard tableaux of a given shape is given that does not involve the involution princ…
math.CO1998
Proof of a determinant evaluation conjectured by Bombieri, Hunt and van der Poorten
Christian Krattenthaler, Doron Zeilberger
A determinant evaluation is proven, a special case of which establishes a conjecture of Bombieri, Hunt, and van der Poorten (Experimental Math\. {\bf 4} (1995), 87--96) that arose…