225 citations · 331 across the 18 of their papers we have counts for
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Short star products for quantum symmetric pairs and applications
Stefan Kolb, Milen Yakimov
We prove that the star product for quantum symmetric pair coideal subalgebras is short. We apply this result to obtain new conceptual proofs, from first principles, of several fund…
The bar involution for quantum symmetric pairs -- hidden in plain sight
Stefan Kolb
We show that all quantum symmetric pair coideal subalgebras of Kac-Moody type have a bar involution for a suitable choice of parameters . The proof relie…
Defining relations of quantum symmetric pair coideal subalgebras
Stefan Kolb, Milen Yakimov
We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantized enveloping algebras of Kac-Moody type. Our methods are based on star p…
Bivariate Continuous q-Hermite Polynomials and Deformed Quantum Serre Relations
W. Riley Casper, Stefan Kolb, Milen Yakimov
We introduce bivariate versions of the continuous q-Hermite polynomials. We obtain algebraic properties for them (generating function, explicit expressions in terms of the univaria…
Symmetric pairs for Nichols algebras of diagonal type via star products
Stefan Kolb, Milen Yakimov
We construct symmetric pairs for Drinfeld doubles of pre-Nichols algebras of diagonal type and determine when they possess an Iwasawa decomposition. This extends G. Letzter's theor…
Factorisation of quasi K-matrices for quantum symmetric pairs
Liam Dobson, Stefan Kolb
The theory of quantum symmetric pairs provides a universal K-matrix which is an analogue of the universal R-matrix for quantum groups. The main ingredient in the construction of th…