Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Milen Yakimov"'
Autor:
Stefan Kolb, Milen Yakimov
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantised enveloping algebras of Kac–Moody type. Our methods are based on star products on noncommutative ${\mathbb N}$-graded algebras. The resulti
Externí odkaz:
https://doaj.org/article/10285734939842849e79e431dbd91fa9
Autor:
W. Riley Casper, Milen Yakimov
Publikováno v:
American Journal of Mathematics. 144:1009-1065
Autor:
Ken Brown, Milen Yakimov
Publikováno v:
International Mathematics Research Notices.
The two main approaches to the study of irreducible representations of orders (via traces and Poisson orders) have so far been applied in a completely independent fashion. We define and study a natural compatibility relation between the two approache
Autor:
Peter Jørgensen, Milen Yakimov
Publikováno v:
Jørgensen, P & Yakimov, M 2022, ' Green groupoids of 2-Calabi–Yau categories, derived Picard actions, and hyperplane arrangements ', Transactions of the American Mathematical Society, vol. 375, no. 11, pp. 7981-8031 . https://doi.org/10.1090/tran/8770
We present a construction of (faithful) group actions via derived equivalences in the general categorical setting of algebraic 2-Calabi–Yau triangulated categories. To each algebraic 2-Calabi–Yau category C \mathscr {C} satisfying standard mild a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fbbe097b19a9bea95c79562aac97071
https://pure.au.dk/portal/da/publications/green-groupoids-of-2calabiyau-categories-derived-picard-actions-and-hyperplane-arrangements(d80ae049-b59e-427e-82de-2728227d53fb).html
https://pure.au.dk/portal/da/publications/green-groupoids-of-2calabiyau-categories-derived-picard-actions-and-hyperplane-arrangements(d80ae049-b59e-427e-82de-2728227d53fb).html
Publikováno v:
International Mathematics Research Notices. 2022:17766-17796
The problem of whether the cohomological support map of a finite dimensional Hopf algebra has the tensor product property has attracted a lot of attention following the earlier developments on representations of finite group schemes. Many authors hav
Autor:
Ken R. Goodearl, Milen Yakimov
Publikováno v:
Journal of the European Mathematical Society. 22:2453-2509
We prove the Berenstein-Zelevinsky conjecture that the quantized coordinate rings of the double Bruhat cells of all finite dimensional simple algebraic groups admit quantum cluster algebra structures with initial seeds as specified by [4]. We further
Publikováno v:
Toeplitz Operators and Random Matrices ISBN: 9783031138508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::638b429e854a16777471d5b58a6d8ac7
https://doi.org/10.1007/978-3-031-13851-5_12
https://doi.org/10.1007/978-3-031-13851-5_12
Autor:
Milen Yakimov, W. Riley Casper
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:151-194
In the mid 1980s it was conjectured that every bispectral meromorphic function ψ ( x , y ) {\psi(x,y)} gives rise to an integral operator K ψ ( x , y ) {K_{\psi}(x,y)} which possesses a commuting differential operator. This has been verifie
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, vol 116, iss 37
Commuting integral and differential operators connect the topics of Signal Processing, Random Matrix Theory, and Integrable Systems. Previously, the construction of such pairs was based on direct calculation and concerned concrete special cases, leav
Autor:
Ken R. Goodearl, Milen Yakimov
Publikováno v:
Duke Mathematical Journal. 170
We prove a general theorem for constructing integral quantum cluster algebras over Z[q±1/2], namely, that under mild conditions the integral forms of quantum nilpotent algebras always possess integral quantum cluster algebra structures. These algebr