The Hook Fusion Procedure

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منابع مشابه

The Hook Fusion Procedure

We derive a new expression for the diagonal matrix elements of irreducible representations of the symmetric group. We obtain this new expression using Cherednik’s fusion procedure. However, instead of splitting Young diagrams into their rows or columns, we consider their principal hooks. This minimises the number of auxiliary parameters needed in the fusion procedure.

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2 4 Fe b 20 05 The hook fusion procedure

We derive a new expression for the diagonal matrix elements of irreducible representations of the symmetric group. We obtain this new expression using Cherednik’s fusion procedure. However, instead of rows or columns, we consider the hooks of Young diagrams. This minimises the number of auxiliary parameters needed in the fusion procedure.

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Fusion Procedure for the Brauer Algebra

We show that all primitive idempotents for the Brauer algebra Bn(ω) can be found by evaluating a rational function in several variables which has the form of a product of R-matrix type factors. This provides an analogue of the fusion procedure for Bn(ω).

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Hook worm caused chronic anemia found during the procedure of acute gastrointestinal bleeding: a case report

BACKGROUND Upper gastrointestinal bleeding with complicated factors is always difficult to find the primary origin. CASE PRESENTATION Here we present a case of a 74-year-old male farmer suffered from acute upper gastrointestinal bleeding caused by gastric ulcer and Mallory-Weiss syndrome and chronic anemia which was at last found caused by hook worm infection. CONCLUSION It tells us that co...

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On the fusion procedure for the symmetric group

We give a new version of the fusion procedure for the symmetric group which originated in the work of Jucys and was developed by Cherednik. We derive it from the Jucys–Murphy formulas for the diagonal matrix units for the symmetric group.

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2005

ISSN: 1077-8926

DOI: 10.37236/1923