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.Comment: 32 pages, late

Mukhin, E.

Young, C. A. S.

arXiv.org e-Print Archive

Elsevier - Publisher Connector 

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University of Hertfordshire Research Archive

Advances in Mathematics

English

A guide to quantum groups,

A new interpretation of Gel ′fand-Tzetlin bases,

A New realization of Yangians and quantized aﬃne algebras,

A q diﬀerence analog of U(g) and the Yang-Baxter equation,

Aﬃne structures and a tableau model for e6 crystals,

Beyond Kirillov-Reshetikhin modules,

Binomial determinants, paths, and hook length formulae,

Cluster algebras and quantum aﬃne algebras,

Combinatorics of q-characters of ﬁnite-dimensional representations of quantum aﬃne algebras,

Factorization of representations of quantum aﬃne algebras, Modular interfaces

K-theory Schubert calculus of the aﬃne

Minimal aﬃnizations of representations of quantum groups: the irregular case,

Minimal aﬃnizations of representations of quantum groups: the nonsimply-laced case,

Minimal aﬃnizations of representations of quantum groups: the rank 2 case,

Minimal aﬃnizations of representations of quantum groups: the simply laced case,

On Frenkel-Mukhin algorithm for q-character of quantum aﬃne algebras, to appear in

On minimal aﬃnizations of representations of quantum groups,

Paths, tableaux and q-characters of quantum aﬃne algebras: the Cn case.,

Quantum aﬃne algebras and their representations,

Quantum aﬃne algebras,

Quantum groups,

Quantum Jacobi-Trudi and Giambelli formulae for Uq(B ((1) r ) from the analytic Bethe ansatz,

Quiver varieties and ﬁnite dimensional representations of quantum aﬃne algebras ,

Quiver varieties and t-analogs of q-characters of quantum aﬃne algebras,

Representations of Yangians with Gelfand-Zetlin bases,

Restricted solid-on-solid models connected with simply laced algebras and conformal ﬁeld theory,

Standard modules of quantum aﬃne algebras,

t-analogs of q-characters of Kirillov-Reshetikhin modules of quantum aﬃne algebras,

The Kirillov-Reshetikhin conjecture and solutions of T-systems,

The q-characters of representations of quantum aﬃne algebras and deformations of W-algebras,

Weyl modules for classical and quantum aﬃne algebras,

Path description of type B q-characters