Y. Neretin

activity

19972026

most citedThe Lagrangian Radon Transform and the Weil representation

30 citations · 178 across the 55 of their papers we have counts for

collaborators

Showing 2017 · math.RTShow all

4 papers · 2 filters

math.RT2017★ 2 cited

Symmetric groups and checker triangulated surfaces

Yury A. Neretin

We consider triangulations of surfaces with edges painted three colors so that edges of each triangle have different colors. Such structures arise as Belyi data (or Grothendieck de…

math.RT2017★ 1 cited

Projectors separating spectra for $L^{2}$ on symmetric spaces $GL(n,\C)/GL(n,\R)$

Yury A. Neretin

The Plancherel decomposition of $L^{2}$ on a pseudo-Riemannian symmetric space $G L (n, C) / G L (n, R)$ has spectrum of $[n /2]$ types. We write explicitly orthogonal projectors separating s…

math.RT2017

Projectors separating spectra for $L^{2}$ on pseudounitary groups $U (p, q)$

Yury A. Neretin

The spectrum of $L^{2}$ on a pseudo-unitary group $U (p, q)$ (we assume $p \geq q$ naturally splits into $q + 1$ types. We write explicitly orthogonal projectors in $L^{2}$ to subspaces with…

math.RT2017★ 3 cited

On the Weil representation of infinite-dimensional symplectic group over a finite field

Yury A. Neretin

We extend the Weil representation of infinite-dimensional symplectic group to a representation a certain category of linear relations.

Symmetric groups and checker triangulated surfaces

Projectors separating spectra for L2 on symmetric spaces $GL(n,\C)/GL(n,\R)$

Projectors separating spectra for L2 on pseudounitary groups U(p,q)

On the Weil representation of infinite-dimensional symplectic group over a finite field

Projectors separating spectra for $L^{2}$ on symmetric spaces $GL(n,\C)/GL(n,\R)$

Projectors separating spectra for $L^{2}$ on pseudounitary groups $U (p, q)$