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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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A modified Brauer algebra as centralizer algebra of the unitary group
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by Alberto Elduque PDF
Trans. Amer. Math. Soc. 356 (2004), 3963-3983 Request permission

Abstract:

The centralizer algebra of the action of $U(n)$ 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 $U(n)$ and with the decomposition of $\otimes _\mathbb {R}^r V$ into irreducible submodules is considered.
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Additional Information
  • Alberto Elduque
  • Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
  • MR Author ID: 208418
  • Email: elduque@unizar.es
  • Received by editor(s): June 9, 2003
  • Published electronically: 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 2004 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 3963-3983
  • MSC (2000): Primary 20G05, 17B10
  • DOI: https://doi.org/10.1090/S0002-9947-04-03602-5
  • MathSciNet review: 2058514