Results 71 to 80 of about 568 (161)
Annihilation of $\text{tor}_{Z_{p}}(\mathcal G_{K,S}^{ab})$ for real abelian extensions $K/Q$
Communications in Advanced Mathematical Sciences, 2018 Let $K$ be a real abelian extension of $\mathbb{Q}$. Let $p$ be a prime number, $S$ the set of $p$-places of $K$ and ${\mathcal G}_{K,S}$ the Galois group of the maximal $S \cup \{\infty\}$-ramified pro-$p$-extension of $K$ (i.e., unramified outside $p ...
Georges Gras
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Abelian ideals and the variety of Lagrangian subalgebras
Journal of Pure and Applied AlgebraFor a semisimple algebraic group $G$ of adjoint type with Lie algebra $\mathfrak g$ over the complex numbers, we establish a bijection between the set of closed orbits of the group $G \ltimes \mathfrak g^{\ast}$ acting on the variety of Lagrangian subalgebras of $\mathfrak g \ltimes \mathfrak g^{\ast}$ and the set of abelian ideals of a fixed Borel ...
Sam Evens, Yu Li
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Symmetries of abelian ideals of Borel subalgebras
, 2013 Elaborating on a paper by Suter, we provide a detailed description of the automorphism group of the poset of abelian ideals in a Borel subalgebra of a finite dimensional complex simple Lie algebra.
Cellini, Paola +2 more
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The group of multiplications for an almost completely decomposable group
Научный вестник МГТУ ГА, 2016 The groups of multiplications and the absolute principal ideals are described in the present paper for the rigid almost completely decomposable groups of the ring type with the cyclic regulator factor.
E. I. Kompantseva, A. A. Fomin
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On Poisson (2-3)-algebras which are finite-dimensional over the center
Researches in MathematicsOne of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev +2 more
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Physical Review X, 2018 The Majorana fermion, which is its own antiparticle and obeys non-Abelian statistics, plays a critical role in topological quantum computing. It can be realized as a bound state at zero energy, called a Majorana zero mode (MZM), in the vortex core of a ...
Qin Liu +15 more
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The condition number associated with ideal lattices from odd prime degree cyclic number fields
Journal of Mathematical CryptologyThe condition number of a generator matrix of an ideal lattice derived from the ring of integers of an algebraic number field is an important quantity associated with the equivalence between two computational problems in lattice-based cryptography, the ...
de Araujo Robson Ricardo
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Regularity of Idempotent Reflexive GP-V’-Rings
MathematicsThis paper discusses the regularity of the GP-V’-rings in conjunction with idempotent reflexivity for the first time. We mainly discuss the weak and strong regularity of the GP-V’-rings using generalized weak ideals, weakly right ideals, and quasi-ideals.
Liuwen Li, Wenlin Zou, Ying Li
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ON THE ORBITS OF A BOREL SUBGROUP IN ABELIAN IDEALS [PDF]
Transformation Groups, 2016 Let $B$ be a Borel subgroup of a semisimple algebraic group $G$, and let $\mathfrak a$ be an abelian ideal of $\mathfrak b=Lie(B)$. The ideal $\mathfrak a$ is determined by certain subset $Δ_{\mathfrak a}$ of positive roots, and using $Δ_{\mathfrak a}$ we give an explicit classification of the $B$-orbits in $\mathfrak a$ and $\mathfrak a^*$.
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On Almost Everywhere K-Additive Set-Valued Maps
Annales Mathematicae SilesianaeLet X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
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