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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 ${\cal U}_q({\widehat g})$.

Dates and versions

hal-00925249 , version 1 (07-01-2014)

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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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