9 papers
The restricted discrete Fourier transform
W. Riley Casper, Milen Yakimov
We investigate the restriction of the discrete Fourier transform to the space of functions with…
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…
Reflective centers of module categories and quantum K-matrices
Robert Laugwitz, Chelsea Walton, Milen Yakimov
Our work is motivated by obtaining solutions to the quantum reflection equation (qRE) by categorical methods. To start, given a braided monoidal category and $\mathca…