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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 421, Pages 126–132
(Mi znsl5754)
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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.
Received: 09.12.2013
Citation:
Yu. A. Neretin, “On an infinite-dimensional limit of the Steinberg representations”, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Zap. Nauchn. Sem. POMI, 421, POMI, St. Petersburg, 2014, 126–132; J. Math. Sci. (N. Y.), 200:6 (2014), 718–721
Linking options:
https://www.mathnet.ru/eng/znsl5754 https://www.mathnet.ru/eng/znsl/v421/p126
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Statistics & downloads: |
Abstract page: | 178 | Full-text PDF : | 36 | References: | 38 |
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