Abstract
In this paper the q-analogs of the semigroup of partial bijections are introduced and studied. They are applied to the description of the so-called tame representations of the infinite-dimensional Hecke akgebra. Bibliography: 3 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Olshansky, “Unitary Representations of the Infinite Symmetric Group: A Semigroup Approach,”Representations of Lie Groups and Lie Algebras, Budapest (1985), 181–198.
S. V. Kerov, “A realization of 8-representations of Hecke algebras and the orthogonal Young form,”Zap. Nauchn. Semin. LOMI,161 (1987).
N. Bourbaki,Elements de Mathématique. Groupes et Algébres de Lie, Paris (1972).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 223, 1995, pp. 92–107
Translated by N. B. Lebedinskaya.
Rights and permissions
About this article
Cite this article
Okun'kov, A. Tame representations of the Hecke algebraH(∞) and theq-analogs of partial bijections. J Math Sci 87, 4036–4045 (1997). https://doi.org/10.1007/BF02355797
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02355797