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Higher order relations for ADE-type generalized q-Onsager algebras

Abstract : For the family of generalized $q-$Onsager algebras associated with simply-laced affine Lie algebras ${\widehat g}$, new relations between certain monomials of the fundamental generators are proposed. These relations can be seen as deformed analogues of Lusztig's higher order $q-$Serre relations associated with ${\cal U}_q({\widehat g})$, which are recovered as special cases in relation with certain coideal subalgebras of ${\cal U}_q({\widehat g})$.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00925249
Contributor : Pascal Baseilhac Connect in order to contact the contributor
Submitted on : Tuesday, January 7, 2014 - 5:30:32 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:07 PM

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  • HAL Id : hal-00925249, version 1
  • ARXIV : 1312.5897

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P. Baseilhac, T. T. Vu. Higher order relations for ADE-type generalized q-Onsager algebras. 2013. ⟨hal-00925249⟩

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