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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

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Is the metaplectic group not a matrix group - counterexample

Is the statement below false? "The metaplectic group Mp2(R) is not a matrix group: it has no faithful finite-dimensional representations." Possible "counterexample": Sp(2n,R) is a subgroup of O(4n …