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math.RT2024
Positive formula for the product of conjugacy classes on the unitary group
Quentin François, Pierre Tarrago
The convolution product of two conjugacy classes of the unitary group is described by a probability distribution on the space of central measures. Relating this convolution t…
math.RT2016★ 3 cited
Central measures on multiplicative graphs, representations of Lie algebras and weight polytopes
Cedric Lecouvey, Pierre Tarrago
To each finite-dimensional representation of a simple Lie algebra is associated a multiplicative graph in the sense of Kerov and Vershik definedfrom the decomposition of its tensor…