Abstract
Methods previously suggested by A. M. Vershik and the author are used to calculate the traces and group of dimensions for the subalgebra of Sp (2m)-invariant in\(\mathop \otimes \limits^\infty M_{2m} \mathbb{C}\)
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akad. Nauk SSSR, Vol. 172, pp. 68–77, 1989.
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Kerov, S.V. Algebra of invariants for the action of the group Sp(2m) on the algebra\(\mathop \otimes \limits_1^\infty M_{2m} \mathbb{C}\) . J Math Sci 59, 1072–1078 (1992). https://doi.org/10.1007/BF01480688
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DOI: https://doi.org/10.1007/BF01480688