The bar involution for quantum symmetric pairs

Author:

Balagović Martina,Kolb Stefan

Abstract

We construct a bar involution for quantum symmetric pair coideal subalgebras B c , s B_{\mathbf {c},\mathbf {s}} corresponding to involutive automorphisms of the second kind of symmetrizable Kac-Moody algebras. To this end we give unified presentations of these algebras in terms of generators and relations, extending previous results by G. Letzter and the second-named author. We specify precisely the set of parameters c \mathbf {c} for which such an intrinsic bar involution exists.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

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