Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Yakimov, Milen T."'
In this paper the authors prove fundamental decomposition theorems pertaining to the internal structure of monoidal triangulated categories (M$\Delta$Cs). The tensor structure of an M$\Delta$C enables one to view these categories like (noncommutative
Externí odkaz:
http://arxiv.org/abs/2311.17883
Finite tensor categories (FTCs) $\bf T$ are important generalizations of the categories of finite dimensional modules of finite dimensional Hopf algebras, which play a key role in many areas of mathematics and mathematical physics. There are two fund
Externí odkaz:
http://arxiv.org/abs/2112.11170
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
Externí odkaz:
http://arxiv.org/abs/2008.09924
We develop a general noncommutative version of Balmer's tensor triangular geometry that is applicable to arbitrary monoidal triangulated categories (M$\Delta$Cs). Insight from noncommutative ring theory is used to obtain a framework for prime, semipr
Externí odkaz:
http://arxiv.org/abs/1909.04304
Autor:
Casper, W. Riley, Yakimov, Milen T.
In the mid 80's it was conjectured that every bispectral meromorphic function $\psi(x,y)$ gives rise to an integral operator $K_{\psi}(x,y)$ which possesses a commuting differential operator. This has been verified by a direct computation for several
Externí odkaz:
http://arxiv.org/abs/1807.09314
Autor:
Brown, Ken A., Yakimov, Milen T.
We prove that, under mild assumptions, for all positive integers $\ell$, the zero set of the discriminant ideal $D_{\ell}(R/Z(R); tr)$ of a prime polynomial identity (PI) algebra $R$ coincides with the zero set of the modified discriminant ideal $MD_
Externí odkaz:
http://arxiv.org/abs/1702.04305
Publikováno v:
Mathematische Annalen; Sep2024, Vol. 390 Issue 1, p205-254, 50p
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2014 Jul 01. 111(27), 9696-9703.
Externí odkaz:
https://www.jstor.org/stable/23802651
Publikováno v:
American Journal of Mathematics; Dec2022, Vol. 144 Issue 6, p1681-1724, 44p
Publikováno v:
IMRN: International Mathematics Research Notices; Nov2022, Vol. 2022 Issue 22, p17766-17796, 31p