Path description of type B q-characters

Evgeny Mukhin; Charles A. S. Young

doi:10.1016/j.aim.2012.06.012

Path description of type B q-characters

Evgeny Mukhin, Charles A. S. Young

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Abstract

We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki.

Original language	English
Pages (from-to)	1119-1150
Journal	Advances in Mathematics
Volume	231
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2012.06.012
Publication status	Published - Oct 2012

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10.1016/j.aim.2012.06.012

904730Accepted author manuscript, 375 KB

http://arxiv.org/abs/1103.5873

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abstract = "We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki. ",

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AB - We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki.

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JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

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Path description of type B q-characters

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