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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2014 Volume 421, Pages 126–132 (Mi znsl5754)

On an infinite-dimensional limit of the Steinberg representations

Yu. A. Neretinabc

a University of Vienna, Vienna, Austria
b Moscow State University, Moscow, Russia
c Institute for Theoretical and Experimental Physics, Moscow

Abstract: We present a construction of the Steinberg representation that allows for automatically passing to an infinite-dimensional limit.

Key words and phrases: infinite-dimensional groups, Steinberg representation, classical groups over finite fields, unitary representations, reproducing kernels.

UDC: 517.986.4

Received: 09.12.2013

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2014, 200:6, 718–721

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