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# Central extension of the reflection equations and an analog of Miki's formula

Abstract : Two different types of centrally extended quantum reflection algebras are introduced. Realizations in terms of the elements of the central extension of the Yang-Baxter algebra are exhibited. A coaction map is identified. For the special case of $U_q(\hat{sl_2})$, a realization in terms of elements satisfying the Zamolodchikov-Faddeev algebra - a 'boundary' analog of Miki's formula - is also proposed, providing a free field realization of $O_q(\hat{sl_2})$ (q-Onsager) currents.
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https://hal.archives-ouvertes.fr/hal-00784875
Contributor : Pascal Baseilhac <>
Submitted on : Monday, February 4, 2013 - 6:25:21 PM
Last modification on : Tuesday, November 5, 2019 - 5:14:34 PM

### Identifiers

• HAL Id : hal-00784875, version 1
• ARXIV : 1104.1591

### Citation

P. Baseilhac, S. Belliard. Central extension of the reflection equations and an analog of Miki's formula. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, pp.J. Phys. A: Math. Theor. 44 (2011) 41 5205. ⟨hal-00784875⟩

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