Transactions of the American Mathematical Society

Author(s): Alberto Elduque
Journal: Trans. Amer. Math. Soc. 356 (2004), 3963-3983.
MSC (2000): Primary 20G05, 17B10
Posted: May 10, 2004
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Abstract: The centralizer algebra of the action of

on the real tensor powers $\otimes_\mathbb{R}^r V$ of its natural module, $V=\mathbb{C}^n$ , is described by means of a modification in the multiplication of the signed Brauer algebras. The relationships of this algebra with the invariants for

and with the decomposition of $\otimes_\mathbb{R}^r V$ into irreducible submodules is considered.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20G05, 17B10

Alberto Elduque
Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
Email: elduque@unizar.es

DOI: 10.1090/S0002-9947-04-03602-5
PII: S 0002-9947(04)03602-5
Keywords: Brauer algebra, unitary group, centralizer
Received by editor(s): June 9, 2003
Posted: May 10, 2004
Additional Notes: This research was supported by the Spanish Ministerio de Ciencia y Tecnología and FEDER (BFM 2001-3239-C03-03)
Copyright of article: Copyright 2004, American Mathematical Society

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