215 citations · 550 across the 60 of their papers we have counts for
6 papers · 1 filter
Money as Minimal Complexity
Pradeep Dubey, Siddhartha Sahi, Martin Shubik
We consider mechanisms that provide traders the opportunity to exchange commodity for commodity , for certain ordered pairs . Given any connected graph of opportunit…
Graphical Exchange Mechanisms
Pradeep Dubey, Siddhartha Sahi, Martin Shubik
Consider an exchange mechanism which accepts diversified offers of various commodities and redistributes everything it receives. We impose certain conditions of fairness and conven…
The Capelli identity and Radon transform for Grassmannians
Siddhartha Sahi, Genkai Zhang
We study a family of Capelli-type invariant differential operators on the space of rectangular matrices over a real division algebra. The descend to invariant d…
Double affine Hecke algebras and congruence groups
Bogdan Ion, Siddhartha Sahi
The most general construction of double affine Artin groups (DAAG) and Hecke algebras (DAHA) associates such objects to pairs of compatible reductive group data. We show that DAAG/…
The Capelli problem for and the spectrum of invariant differential operators
Siddhartha Sahi, Hadi Salmasian
The "Capelli problem" for the symmetric pairs , and is closely rel…
Generalized and degenerate Whittaker models
Raul Gomez, Dmitry Gourevitch, Siddhartha Sahi
We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non-archimedean). Our main result is the construc…