66 citations · 603 across the 77 of their papers we have counts for
87 papers
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…
Maximal green sequences for quantum and Poisson CGL extensions
Milen Yakimov
We prove that the quantum and classical cluster algebras for all members of the axiomatically defined classes of symmetric quantum and Poisson Cauchon-Goodearl-Letzter extensions p…
Integral cluster structures on quantized coordinate rings
Hironori Oya, Fan Qin, Milen Yakimov
We develop (quantum) cluster algebra structures over arbitrary commutative unital rings and prove that the (quantized) coordinate rings of connected simply-connected comple…
The homological spectrum for monoidal triangulated categories
Daniel K. Nakano, Kent B. Vashaw, Milen T. Yakimov
The authors develop a notion of homological prime spectrum for an arbitrary monoidal triangulated category, . Unlike the symmetric case due to Balmer, the homological…
Partially compactified quantum cluster structures on simple algebraic groups and the full Berenstein--Zelevinsky conjecture
Fan Qin, Milen Yakimov
The construction of partially compactified cluster algebras on coordinate rings is handled by using codimension 2 arguments on cluster covers. An analog of this in the quantum situ…
Adelic and Rational Grassmannians for finite dimensional algebras
Emil Horozov, Milen Yakimov
We develop a theory of Wilson's adelic Grassmannian and Segal-Wilson's rational Grasssmannian associated to an a…