An orthogonal form for level two Hecke algebras with applications

Mathematics – Representation Theory

Scientific paper

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For proceedings of "Representation Theory of Algebraic Groups and Quantum Groups," Nagoya, 2010

Scientific paper

This is a survey of some recent results relating Khovanov's arc algebra to
category O for Grassmannians, the general linear supergroup, and the walled
Brauer algebra. The exposition emphasizes an extension of Young's orthogonal
form for level two cyclotomic Hecke algebras.

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