Affine Yangians and some cosets of non-rectangular W -algebras

Key Points

• Homomorphism established between affine Yangians and non-rectangular W-algebras involves coproducts, enhancing algebraic structure.
• The primary focus centers on the affine Yangian associated with sl̂(qu−qu+1) and its relation to the universal enveloping algebra.
• Coproducts are utilized effectively, together with the Miura map, to demonstrate this mapping of algebras.
• This has significant implications for further exploration in the algebraic framework of W-algebras and Yangians.