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We introduce and study a new basis in the algebra of symmetric functions. The elements of this basis are called the Frobenius{Schur functions (F S-functions, for short). Our main motivation for studying the F S-functions is the fact that they enter a formula expressing the combinatorial dimension of a skew Young diagram in terms of the Frobenius(More)
Given a cell x in a skew diagram, the arm length a(x), the leg length `(x), and therefore the ‘hook pair’ (a(x), `(x)), are defined. The diagram thus determines the corresponding multiset of its hook pairs. Similarly, x ∈ Z2 + determines its ‘content pair’ (a(x), `(x)), which give raise to another type of multiset. Here we prove various identities between(More)