Y. Karasik

activity

20152022

most citedThe Polynomial Part of the Codimension Growth of Affine PI Algebras

9 citations · 25 across the 8 of their papers we have counts for

collaborators

11 papers

math.NT2022

Counting flags of primitive lattices

Tal Horesh, Yakov Karasik

We count flags of primitive lattices, which are objects of the form $0 = Λ^{(0)} < Λ^{(1)} < \dots < Λ^{(ℓ)} = Z^{n}$ , where every $Λ^{(i)}$ is a primitive lattice in $\mathb…

math.RA2021★ 1 cited

Semisimple Algebras and PI-Invariants of Finite Dimensional Algebras

Eli Aljadeff, Yakov Karasik

Let $Γ$ be a $T$ -ideal of identities of an affine PI-algebra over an algebraically closed field $F$ of characteristic zero. Consider the family $M_{Γ}$ of finite dimensiona…

math.DS2021★ 1 cited

Intersection spaces and multiple transverse recurrence

Michael Björklund, Tobias Hartnick, Yakov Karasik

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 theo…

math.NT2020★ 3 cited

Equidistribution of primitive lattices in $R^{n}$

Tal Horesh, Yakov Karasik

We count primitive lattices of rank $d$ inside $Z^{n}$ as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include,…

math.DS2020★ 4 cited

A practical guide to well roundedness

Tal Horesh, Yakov Karasik

Let $G$ be a semisimple algebraic group. We develop a machinery for manipulation and manufacture of well-rounded families ${B_{T}}_{T > 0} \subset G$ as they…

math.RA2020

On generic $G$ -graded Azumaya algebras

Eli Aljadeff, Yakov Karasik

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…

math.RA2019

Division algebras graded by a finite group

Eli Aljadeff, Darrell Haile, Yakov Karasik

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 cen…

math.NT2019★ 4 cited

Equidistribution of primitive vectors, and the shortest solutions to their GCD equations

Tal Horesh, Yakov Karasik

We prove effective joint equidistribution of several natural parameters associated to primitive vectors in $Z^{n}$ , as the norm of these vectors tends to infinity. These p…

math.RA2016★ 3 cited

G-Graded Central Polynomials and G-Graded Posner's Theorem

Yakov Karasik

Let F be characteristic zero field, G a residually finite group and W a G-prime and PI F-algebra. By constructing G-graded central polynomials for W, we prove the G-graded version…

math.RA2016

Verbally prime T-ideals and graded division algebras

Eli Aljadeff, Yakov Karasik

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…

math.RA2015★ 9 cited

The Polynomial Part of the Codimension Growth of Affine PI Algebras

Eli Aljadeff, Geoffrey Janssens, Yakov Karasik

Let $F$ be a field of characteristic zero and $W$ be an associative affine $F$ -algebra satisfying a polynomial identity (PI). The codimension sequence associated to $W$ , $c_{n} (W)$ ,…

Counting flags of primitive lattices

Semisimple Algebras and PI-Invariants of Finite Dimensional Algebras

Intersection spaces and multiple transverse recurrence

Equidistribution of primitive lattices in Rn

A practical guide to well roundedness

On generic G-graded Azumaya algebras

Division algebras graded by a finite group

Equidistribution of primitive vectors, and the shortest solutions to their GCD equations

G-Graded Central Polynomials and G-Graded Posner's Theorem

Verbally prime T-ideals and graded division algebras

The Polynomial Part of the Codimension Growth of Affine PI Algebras

Equidistribution of primitive lattices in $R^{n}$

On generic $G$ -graded Azumaya algebras