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math.RT2019★ 2 cited
A characteristic map for the symmetric space of symplectic forms over a finite field
Jimmy He
The characteristic map for the symmetric group is an isomorphism relating the representation theory of the symmetric group to symmetric functions. An analogous isomorphism is const…
math.RT2015
The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces
Kathryn Hare, Jimmy He
Let be a non-compact group, the compact subgroup fixed by a Cartan involution and assume is an exceptional, symmetric space, one of Cartan type or . We find…
math.RT2015★ 1 cited
Smoothness of convolution products of orbital measures on rank one compact symmetric spaces
Kathryn Hare, Jimmy He
We prove that all convolution products of pairs of continuous orbital measures in rank one, compact symmetric spaces are absolutely continuous and determine which convolution produ…