A Modified Brauer Algebra as Centralizer Algebra of the Unitary Group

نویسنده

  • ALBERTO ELDUQUE
چکیده

The centralizer algebra of the action of U(n) on the real tensor powers ⊗RV of its natural module, V = Cn, is described by means of a modification in the multiplication of the signed Brauer algebras. The relationships of this algebra with the invariants for U(n) and with the decomposition of ⊗RV into irreducible submodules is considered.

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تاریخ انتشار 2003