Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Bobiński, Grzegorz"'
Autor:
Bobinski, Grzegorz, Ciborski, Tomasz
We prove that any derived equivalence between derived discrete algebras is standard, i.e.\ is isomorphic to the derived tensor product by a two-sided tilting complex.
Externí odkaz:
http://arxiv.org/abs/2409.05158
Autor:
Bobinski, Grzegorz, Zwara, Grzegorz
We complete a classification of the two-vertex geometrically irreducible algebras. We also classify the algebras in new classes of hom- and ext-irreducible algebras.
Externí odkaz:
http://arxiv.org/abs/2311.06173
Assume that $K$ is an algebraically closed field and denote by $KG(R)$ the Krull-Gabriel dimension of $R$, where $R$ is a locally bounded $K$-category (or a bound quiver $K$-algebra). Assume that $C$ is a tilted $K$-algebra and $\widehat{C},\check{C}
Externí odkaz:
http://arxiv.org/abs/2210.11798
Autor:
Bobiński, Grzegorz, Zwara, Grzegorz
Publikováno v:
In Journal of Pure and Applied Algebra October 2024 228(10)
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
Autor:
Bobinski, Grzegorz, Zwara, Grzegorz
Let $\Bbbk$ be an algebraically closed field, $Q$ a finite quiver, and denote by $\mathop{\mathrm{rep}}_Q^{\mathbf{d}}$ the affine $\Bbbk$-scheme of representations of $Q$ with a fixed dimension vector ${\mathbf{d}}$. Given a representation $M$ of $Q
Externí odkaz:
http://arxiv.org/abs/2108.11722
Autor:
Bobinski, Grzegorz, Schmude, Janusz
We describe, in terms of generators and relations, the derived Hall algebras associated to the one-cycle gentle algebras of infinite global dimension.
Externí odkaz:
http://arxiv.org/abs/1910.10417
Autor:
Bobinski, Grzegorz
We characterize pairs (Q,d) consisting of a quiver Q and a dimension vector d, such that over a given algebraically closed field k there are infinitely many representations of Q of dimension vector d. We also present an application of this result to
Externí odkaz:
http://arxiv.org/abs/1903.04849
Autor:
Bobinski, Grzegorz
We study a family of affine varieties arising from a version of an old problem due to Birkhoff asking for the classification of embeddings of finite abelian p-groups. We show that all of these varieties are irreducible and have a dense orbit.
Externí odkaz:
http://arxiv.org/abs/1810.12391
Autor:
Bobiński, Grzegorz, Schröer, Jan
We call a finite-dimensional K-algebra A geometrically irreducible if for all d all connected components of the affine scheme of d-dimensional A-modules are irreducible. We prove that a geometrically irreducible algebra with exactly two simple module
Externí odkaz:
http://arxiv.org/abs/1801.03677