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TILING BRANCHING MULTIPLICITY SPACES WITH GL${}_{2} $ PATTERN BLOCKS
Published online by Cambridge University Press: 10 April 2013
Abstract
We study branching multiplicity spaces of complex classical groups in terms of ${\mathrm{GL} }_{2} $ representations. In particular, we show how combinatorics of ${\mathrm{GL} }_{2} $ representations are intertwined to make branching rules under the restriction of ${\mathrm{GL} }_{n} $ to ${\mathrm{GL} }_{n- 2} $. We also discuss analogous results for the symplectic and orthogonal groups.
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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