Zobrazeno 1 - 10
of 173
pro vyhledávání: '"Smoktunowicz, Agata"'
Autor:
Smoktunowicz, Agata
Let $p>3$ be a prime number and let $A$ be a brace whose additive group is a direct sum of cyclic groups of cardinalities larger than $p^{\alpha }$ for some $\alpha $. Suppose that either (i) $A^{\lfloor{\frac {p-1}4}\rfloor}\subseteq pA$ or that (ii
Externí odkaz:
http://arxiv.org/abs/2410.20440
Autor:
Smoktunowicz, Agata
Let A be a brace of cardinality $p^{n}$ for some prime number $p$. Suppose that either (i) the additive group of brace $A$ has rank smaller than $p-3$, or (ii) $A^{\frac {p-1}2}\subseteq pA$ or (iii) $p^{i}A$ is an ideal in in $A$ for each $i$. It is
Externí odkaz:
http://arxiv.org/abs/2410.05924
In this paper we give the detailed error analysis of two algorithms $W_1$ and $W_2$ for computing the symplectic factorization of a symmetric positive definite and symplectic matrix $A \in \mathbb R^{2n \times 2n}$ in the form $A=LL^T$, where $L \in
Externí odkaz:
http://arxiv.org/abs/2310.07662
One of the questions investigated in deformation theory is to determine to which algebras can a given associative algebra be deformed. In this paper we investigate a different but related question, namely: for a given associative finite-dimensional C
Externí odkaz:
http://arxiv.org/abs/2305.03446
Autor:
Smoktunowicz, Agata
Let A be a brace of cardinality p^{n} where p>n+1 is prime, and ann(p^{i}) be the set of elements of additive order at most p^{i} in this brace. A pre-Lie ring related to the brace A/ann(p^{2}) was constructed in [8]. We show that there is a formula
Externí odkaz:
http://arxiv.org/abs/2208.02535
Autor:
Shalev, Aner, Smoktunowicz, Agata
Let $A$ be a brace of cardinality $p^{n}$ where $p>n+1$ is prime, and let $ann (p^{2})$ be the set of elements of additive order at most $p^{2}$ in this brace. We construct a pre-Lie ring related to the brace $A/ann(p^{2})$. In the case of strongly n
Externí odkaz:
http://arxiv.org/abs/2207.03158
Autor:
Smoktunowicz, Agata
Let p be a prime number. We show that there is a one-to-one correspondence between the set of strongly nilpotent braces and the set of nilpotent pre-Lie rings of cardinality $p^{n}$, for sufficiently large p. Moreover, there is an injective mapping f
Externí odkaz:
http://arxiv.org/abs/2202.00085
Autor:
Smoktunowicz, Agata
In this paper a simple algebraic formula is obtained for the correspondence between finite right nilpotent Fp-braces and finite nilpotent pre-Lie algebras. This correspondence agrees with the correspondence using Lazard's correspondence between finit
Externí odkaz:
http://arxiv.org/abs/2011.07611
Autor:
Smoktunowicz, Agata
In 2014, Wolfgang Rump showed that there exists a correspondence between left nilpotent right R-braces and pre-Lie algebras. This correspondence, established using a geometric approach related to flat affine manifolds and affine torsors, works locall
Externí odkaz:
http://arxiv.org/abs/2007.09403
Autor:
Doikou, Anastasia, Smoktunowicz, Agata
Publikováno v:
Lett. Math. Phys. 111, 105 (2021)
Connections between set-theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set-theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and twisted algebr
Externí odkaz:
http://arxiv.org/abs/2003.08317