Zobrazeno 1 - 10
of 45
pro vyhledávání: '"11S45"'
Autor:
Zhu, Ziyang
We extend Latimer and MacDuffee's theorem to a general commutative domain and apply this result to study similarity of matrices over integral rings of number fields. We also conjecture similarity over discrete valuation rings can be descent by a fini
Externí odkaz:
http://arxiv.org/abs/2405.08501
Autor:
Babei, Angelica, Herman, Allen
We calculate zeta functions for certain orders of rank $3$ defined by standard integral table algebras and integral fusion rings that have irrational-valued irreducible characters. The calculations are obtained from explicit calculations of zeta inte
Externí odkaz:
http://arxiv.org/abs/2304.13602
Autor:
Xue, Jiangwei, Yu, Chia-Fu
Let $D$ be a quaternion algebra over a number field $F$, and $\mathscr{G}$ be an arbitrary genus of $O_F$-orders of full rank in $D$. Let $K$ be a quadratic field extension of $F$ that embeds into $D$, and $B$ be an $O_F$-order in $K$ that can be opt
Externí odkaz:
http://arxiv.org/abs/2207.12736
Autor:
Babei, Angelica, Herman, Allen
We investigate Solomon's zeta function for orders in the special case of orders generated by the standard basis of an integral table algebra, a special case of which is the integral adjacency algebra of an association scheme. As Solomon's elementary
Externí odkaz:
http://arxiv.org/abs/2204.04784
Autor:
Brussel, Eric
We generalize the Hasse invariant of local class field theory to the tame Brauer group of a higher dimensional local field, and use it to study the arithmetic of central simple algebras over such fields, which are given {\it a priori} as tensor produ
Externí odkaz:
http://arxiv.org/abs/2104.01692
Autor:
Peng, Deke, Xue, Jiangwei
Let $A$ be a quaternion algebra over a number field $F$, and $\mathcal{O}$ be an $O_F$-order of full rank in $A$. Let $K$ be a quadratic field extension of $F$ that embeds into $A$, and $B$ be an $O_F$-order in $K$. Suppose that $\mathcal{O}$ is a Ba
Externí odkaz:
http://arxiv.org/abs/2012.01117
Autor:
Babei, Angelica
Let $A$ be a central simple algebra over a number field $K$ with ring of integers $\mathcal{O}_K$, such that either the degree of the algebra $n \ge 3$, or $n=2$ and $A$ is not a totally definite quaternion algebra. Then strong approximation holds in
Externí odkaz:
http://arxiv.org/abs/2010.12145
Autor:
Arenas-Carmona, Luis, Bravo, Claudio
We extend our previous computations for the relative positions of branches of quaternions to the case of local fields of even characteristic. This is a key step to understand the set of maximal orders containing a given suborder, which is useful, for
Externí odkaz:
http://arxiv.org/abs/2007.06821
Autor:
Babei, Angelica, Chari, Sara
In this article, we study the metacommutation problem in locally Eichler orders. From this arises a permutation of the set of locally principal left ideals of a given prime reduced norm. Previous results on the cycle structure were determined for loc
Externí odkaz:
http://arxiv.org/abs/1909.12915
Let R be a complete discrete valuation ring with quotient field K, L a finite Galois extension of K with Galois group G and S the integral closure of R in L. In this article, using elements of the monoid Sl(G), the set of semilinear maps of G on the
Externí odkaz:
http://arxiv.org/abs/1909.11405