Multiplicity-Free Products of Schur Functions

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Schur positivity and the q-log-convexity of the Narayana polynomials (2008, background): “It is also worth mentioning that the Schur expansion of the product of two Schur functions indexed by partitions with only two-columns turns out to be multiplicity-free if one is indexed by a rectangular shape; see Stembridge [31].”
重複度１の表現と複素多様体上の可視的な作用Multiplicity-free representations and visible actions on complex manifolds (2005, background): “Then, it turns out that Theorem 2 combined with the Grassmann geometry (see Theorem 16) yields the list of all multiplicity-free tensor product representations of gl(n,C) as follows: Suppose that λ is of the form λ = ( a, . . . , a︸︷︷︸ p , b, . . . , b︸︷︷︸ q ) ∈ Zn for some p, q, a and b such th”
Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs (2006, methodology): “See the recent papers [46] or [81] for the complete list of such pairs (π1, π2) for gC = gl(n,C).”
Visible actions on symmetric spaces (2006, unknown): “This strengthened version covers, for instance, Stembridge’s classification [32] of the pairs (π1, π2) of two irreducible finite dimensional representations of GLn such that π1⊗π2 is multiplicity-free.”