Dual Partially Harmonic Tensors and Brauer–schur–weyl Duality
نویسنده
چکیده
We study the Brauer–Schur–Weyl duality between the quotient Bn(−2m)/B (f) n of the Brauer algebra Bn(−2m) and the symplectic group Sp(V ) on the space HT ⊗f n of partially harmonic tensors of valence f in V , where B (f) n is the two-sided ideal generated by e1e3 · · · e2f−1 and 1 ≤ f ≤ [n/2]. We prove that the dimensions of HT ⊗f n and the endomorphism algebra EndKSp(V ) “
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