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Embeddings of Schur Functions into Types B/C/D

✍ Scribed by Michael Kleber

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 137 KB
Volume: 247
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9038

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✦ Synopsis

We consider the problem of embedding the semi-ring of Schur-positive symmetric polynomials into its analogue for the classical types B/C/D. If we preserve highest weights and add the additional Lie-theoretic parity assumption that the weights in images of Schur functions lie in a single translate of the root lattice, there are exactly two solutions. These naturally extend the Kirillov-Reshetikhin decompositions of representations of symplectic and orthogonal quantum affine algebras U q ˆ .  2002

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