Polyhedral realizations of crystal bases B (λ) for quantum algebras of nonexceptional affine types

A. Hoshino; K. Nakada

doi:10.1063/1.5043554

Polyhedral realizations of crystal bases B (λ) for quantum algebras of nonexceptional affine types

A. Hoshino, K. Nakada

Research output: Contribution to journal › Article › peer-review

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Abstract

We give explicit forms of the crystal bases B(λ) for the integrable highest weight modules of the quantum affine algebras for A2n(2), A2n-1(2), Bn(1), Cn(1), and Dn+1(2).

Original language	English
Article number	091704
Journal	Journal of Mathematical Physics
Volume	60
Issue number	9
DOIs	https://doi.org/10.1063/1.5043554
Publication status	Published - Sept 1 2019

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Polyhedral realizations of crystal bases B (λ) for quantum algebras of nonexceptional affine types",

abstract = "We give explicit forms of the crystal bases B(λ) for the integrable highest weight modules of the quantum affine algebras for A2n(2), A2n-1(2), Bn(1), Cn(1), and Dn+1(2).",

author = "A. Hoshino and K. Nakada",

note = "Funding Information: Research of A.H. is supported by JSPS KAKENHI (Grant Nos. 16K05186 and 19K03530). Publisher Copyright: {\textcopyright} 2019 Author(s).",

year = "2019",

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AU - Hoshino, A.

AU - Nakada, K.

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N2 - We give explicit forms of the crystal bases B(λ) for the integrable highest weight modules of the quantum affine algebras for A2n(2), A2n-1(2), Bn(1), Cn(1), and Dn+1(2).

AB - We give explicit forms of the crystal bases B(λ) for the integrable highest weight modules of the quantum affine algebras for A2n(2), A2n-1(2), Bn(1), Cn(1), and Dn+1(2).

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Polyhedral realizations of crystal bases B (λ) for quantum algebras of nonexceptional affine types

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