The alternating central extension U^+_q of U^+_q is isomorphic to U^+_q tensor F[z1,z2,...] via a surjective homomorphism sending alternating generators to alternating elements, with those generators forming a PBW basis.
An integrable structure related with tridiagonal algebras
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abstract
The standard generators of tridiagonal algebras, recently introduced by Terwilliger, are shown to generate a new (in)finite family of mutually commuting operators which extends the Dolan-Grady construction. The involution property relies on the tridiagonal algebraic structure associated with a deformation parameter $q$. Representations are shown to be generated from a class of quadratic algebras, namely the reflection equations. The spectral problem is briefly discussed. Finally, related massive quantum integrable models are shown to be superintegrable.
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math.QA 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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The alternating central extension for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
The alternating central extension U^+_q of U^+_q is isomorphic to U^+_q tensor F[z1,z2,...] via a surjective homomorphism sending alternating generators to alternating elements, with those generators forming a PBW basis.