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pro vyhledávání: '"A. Gassner"'
Autor:
Bharathram, Vasudha
We study two classical representations of Artin's braid group and their modulo $p$ reductions. We use topological methods to show that the Gassner representation $\tau_n: B_n\to\text{GL}_n(\mathbb{Z}[t_1^{\pm 1}, \ldots, t_n^{\pm 1}])$ is faithful fo
Externí odkaz:
http://arxiv.org/abs/2208.12378
Autor:
Cosgrove, G. Makenzie
While much is known about the faithfulness of the Burau representation, the problem remains open for the Gassner representation for every $B_n$ with $n\geq 4$. We first find the definition of the Colored-Burau representation of Ainshel, Ainshel, Gold
Externí odkaz:
http://arxiv.org/abs/2204.12469
Autor:
Abdulrahim, Mohammad N.
Publikováno v:
Proceedings of the American Mathematical Society, 1997 May 01. 125(5), 1249-1257.
Externí odkaz:
https://www.jstor.org/stable/2162063
Autor:
Abdulrahim, Mohammad N.
Publikováno v:
Proceedings of the American Mathematical Society, 1997 Jun 01. 125(6), 1617-1624.
Externí odkaz:
https://www.jstor.org/stable/2162200
We study the $n$th degree representations $\hat{\rho_G}$ of $Cb_{n}$ and $\hat{\rho_B}$ of $C_{n}$, defined by Valerij G. Bardakov, where $Cb_{n}$ is the group of basis conjugating automorphisms and $C_n$ is the group of conjugating automorphisms. We
Externí odkaz:
http://arxiv.org/abs/2010.09093
Autor:
Conway, Anthony, Estier, Solenn
We show how Conway's multivariable potential function can be constructed using braids and the reduced Gassner representation. The resulting formula is a multivariable generalization of a construction, due to Kassel-Turaev, of the Alexander-Conway pol
Externí odkaz:
http://arxiv.org/abs/1709.03479
Autor:
Samani, Zahra Najafabadi, Gassner, Matthias, Fahringer, Thomas, Poveda, Juan Aznar, Pedratscher, Stefan
With the growth of real-time applications and IoT devices, computation is moving from cloud-based services to the low latency edge, creating a computing continuum. This continuum includes diverse cloud, edge, and endpoint devices, posing challenges f
Externí odkaz:
http://arxiv.org/abs/2411.16697
Autor:
Gaßner, Christine
This paper focuses on the set HAC of 1-1 Ackermann axioms of choice in second-order predicate logic with Henkin interpretation (HPL). To answer a question posed by Michael Rathjen, we restrict the proof that the basic Fraenkel model of second order i
Externí odkaz:
http://arxiv.org/abs/2410.23276
Free-stream preservation is an essential property for numerical solvers on curvilinear grids. Key to this property is that the metric terms of the curvilinear mapping satisfy discrete metric identities, i.e., have zero divergence. Divergence-free met
Externí odkaz:
http://arxiv.org/abs/2410.14502
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