Bar-invariant bases of the quantum cluster algebra of type $A^{(2)}_2$

Chen, Xueqing; Ding, Ming; Sheng, Jie

doi:10.1007/s10587-011-0049-3

Geodesic

Parcourir par

Bar-invariant bases of the quantum cluster algebra of type

A_{2}^{(2)}

Chen, Xueqing ; Ding, Ming ; Sheng, Jie

Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1077-1090.

Voir la notice de l'article dans Czech Digital Mathematics Library

Résumé

We construct bar-invariant

Z [q^{\pm 1 / 2}]

-bases of the quantum cluster algebra of the valued quiver

A_{2}^{(2)}

, one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.

MR Zbl

DOI : 10.1007/s10587-011-0049-3

Classification : 13F60, 14M17, 16G10, 16G20, 16T20, 20G42
Mots-clés : quantum cluster algebra;

Z [q^{\pm 1 / 2}]

-basis; valued quiver

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     title = {Bar-invariant bases of the quantum cluster algebra of type $A^{(2)}_2$},
     journal = {Czechoslovak Mathematical Journal},
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Chen, Xueqing; Ding, Ming; Sheng, Jie. Bar-invariant bases of the quantum cluster algebra of type $A^{(2)}_2$. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1077-1090. doi : 10.1007/s10587-011-0049-3. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0049-3/

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