Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Karasik, Yakov"'
Autor:
Horesh, Tal, Karasik, Yakov
We count flags of primitive lattices, which are objects of the form ${0}=\Lambda^{(0)}<\Lambda^{(1)}< \cdots <\Lambda^{(\ell)}= \mathbb{Z}^n$, where every $\Lambda^{(i)}$ is a primitive lattice in $\mathbb{Z}^n$. The counting is with respect to two d
Externí odkaz:
http://arxiv.org/abs/2202.12724
Autor:
Aljadeff, Eli, Karasik, Yakov
Publikováno v:
Alg. Number Th. 18 (2024) 133-164
Let $\Gamma$ be a $T$-ideal of identities of an affine PI-algebra over an algebraically closed field $F$ of characteristic zero. Consider the family $\mathcal{M}_{\Gamma}$ of finite dimensional algebras $\Sigma$ with $Id(\Sigma) = \Gamma$. By Kemer's
Externí odkaz:
http://arxiv.org/abs/2112.10236
We study multiple recurrence properties along separated cross sections for pmp actions of unimodular lcsc group on Polish spaces. We establish a multiple transverse recurrence theorem under the assumption that sufficiently large powers of the return
Externí odkaz:
http://arxiv.org/abs/2108.09064
Autor:
Horesh, Tal, Karasik, Yakov
We count primitive lattices of rank $d$ inside $\mathbb{Z}^{n}$ as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include, for example, the subsapce that a lattice spans, namely its projection
Externí odkaz:
http://arxiv.org/abs/2012.04508
Autor:
Horesh, Tal, Karasik, Yakov
Let $G$ be a semisimple algebraic group. We develop a machinery for manipulation and manufacture of well-rounded families $\left\{ \mathcal{B}_{T}\right\} _{T>0}\subset G$ as they were defined in a work by A. Gorodnik and A. Nevo. The importance of t
Externí odkaz:
http://arxiv.org/abs/2011.12204
Autor:
Aljadeff, Eli, Karasik, Yakov
Let $F$ be an algebraically closed field of characteristic zero and let $G$ be a finite group. Consider $G$-graded simple algebras $A$ which are finite dimensional and $e$-central over $F$, i.e. $Z(A)_{e} := Z(A)\cap A_{e} = F$. For any such algebra
Externí odkaz:
http://arxiv.org/abs/2008.00976
Let $k$ be a field containing an algebraically closed field of characteristic zero. If $G$ is a finite group and $D$ is a division algebra over $k$, finite dimensional over its center, we can associate to a faithful $G$-grading on $D$ a normal abelia
Externí odkaz:
http://arxiv.org/abs/1904.10686
Autor:
Horesh, Tal, Karasik, Yakov
We prove effective joint equidistribution of several natural parameters associated to primitive vectors in $\mathbb{Z}^{n}$, as the norm of these vectors tends to infinity. These parameters include the direction, the orthogonal lattice, and the lengt
Externí odkaz:
http://arxiv.org/abs/1903.01560
Autor:
Aljadeff, Eli, Karasik, Yakov
Let $F$ be an algebraically closed field of characteristic zero and let $G$ be a finite group. We consider graded Verbally prime $T$-ideals in the free $G$-graded algebra. It turns out that equivalent definitions in the ordinary case (i.e. ungraded)
Externí odkaz:
http://arxiv.org/abs/1610.04425