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Multiplicity-Free Products of Schur Functions Page 1 Annals of Combinatorics 5 (2001) 113-121
0218-0006/01/020113-9$1.50+0.20/0 c Birkhäuser Verlag, Basel, 2001 Annals of Combinatorics …

We classify all multiplicity-free products of Weyl characters, or equivalently, all multiplicity-
free tensor products of irreducible representations of complex semisimple Lie algebras. As a …

We give a unified interpretation of confluences, contiguity relations and Katz's middle
convolutions for linear ordinary differential equations with polynomial coefficients and their …

One of the beautiful results in the representation theory of the finite groups is McKay's
theorem on a correspondence between representations of the binary polyhedral group of …

Problem: Given a reductive algebraic group G, find all k-tuples of parabolic subgroups
(P_1,..., P_k) such that the product of flag varieties G/P_1 x... x G/P_k has finitely many orbits …

The Deligne–Simpson problem (DSP)(respectively the weak DSP) is formulated like this:
give necessary and sufficient conditions for the choice of the conjugacy classesCj⊂ GL (n …

The set of orbits of GL (V) in Fl (V)× Fl (V)× V is finite, and is parametrized by the set of
certain decorated permutations in a work of Magyar, Weyman, and Zelevinsky. We describe …

We prove a geometric criterion for the bounded multiplicity property of" small" infinite-
dimensional representations of real reductive Lie groupsin both induction and restrictions …

We prove a short, root-system uniform, combinatorial classification of Levi-spherical
Schubert varieties for any generalized flag variety G/B of finite Lie type. We apply this to the …