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math.RT2023
Oligomorphic groups, categories of partial bijections, and ultrahomogeneous cubic spaces over finite fields
Yury A. Neretin
We show that for certain class of oligomorphic groups there is a version of multiplication of double cosets in the Ismagilov--Olshanski sense. Categories of (reduced) double cosets…
math.RT2023
On Derkachov--Manashov -matrices for the principal series of unitary representations
Yury A. Neretin
In 2001--2013 Derkachov and Manashov with coauthors obtained simple and natural expressions of -matrices for the principal series of representations of the groups $\mathrm{SL}(2…