A remark on representations of infinite symmetric groups. (English. Russian original) Zbl 1282.20013
J. Math. Sci., New York 190, No. 3, 464-467 (2013); translation from Zap. Nauchn. Semin. POMI 403, 103-109 (2012).
Summary: We simplify the construction of the Thoma representations of the infinite symmetric group.
MSC:
| 20C32 | Representations of infinite symmetric groups |
| 22D10 | Unitary representations of locally compact groups |
| 43A35 | Positive definite functions on groups, semigroups, etc. |
Keywords:
infinite symmetric group; group of finite permutations; spherical representations; Thoma representationsCitations:
Zbl 0192.12402References:
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