| 1. |
- Kamiya, Noriaki, et al.
(författare)
-
A characterization of $(-1,-1)$-Freudenthal-Kantor triple systems
- 2011
-
Ingår i: Glasgow Mathematical Journal. - 0017-0895. ; 53:3, s. 727-738
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper, we discuss a connection between $(−1,−1)$-Freudenthal–Kantor triple systems, anti-structurable algebras, quasi anti-flexible algebras and give examples of such structures. The paper provides the correspondence and characterization of a bilinear product corresponding a triple product.
|
|
| 2. |
- Kamiya, Noriaki, et al.
(författare)
-
A review on $\delta$-structurable algebras
- 2011
-
Ingår i: Banach Center Publications. - : Institute of Mathematics, Polish Academy of Sciences. - 1730-6299 .- 0137-6934. ; 93, s. 59-67
-
Konferensbidrag (refereegranskat)abstract
- In this paper we give a review on $\delta$-structurable algebras. A connection between Malcev algebras and a generalization of $\delta$-structurable algebras is also given.
|
|
| 3. |
- Kamiya, Noriaki, et al.
(författare)
-
A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems
- 2010
-
Ingår i: Bulletin of the Australian Mathematical Society. - 0004-9727. ; 81:1, s. 132-155
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper we discuss the simplicity criteria of (-1, -1)-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras. We also show that we can associate a Jordan triple system to any (epsilon, delta)-Freudenthal Kantor triple system. Further, we introduce the notion of delta-structurable algebras and connect them to (-1, delta)-Freudenthal Kantor triple systems and the corresponding Lie (super)algebra construction.
|
|
| 4. |
- Kamiya, Noriaki, et al.
(författare)
-
$(\epsilon,\delta)$-Freudenthal Kantor triple systems, $\delta$-structurable algebras and Lie superalgebras
- 2010
-
Ingår i: Algebras, Groups and Geometries. - 0741-9937. ; 2:27, s. 191-206
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper we discuss $(\epsilon,\delta)$-Freudenthal Kantor triple systems with certain structure on the subspace $L_{-2}$ of the corresponding standard embedding five graded Lie (super)algebra $L(\epsilon,\delta):=L_{-2}\oplus L_{-1}\oplus L_0\oplus L_1\oplus L_2; [L_i,L_j]\subseteq L_{i+j}$. We recall Lie and Jordan structures associated with $(\epsilon,\delta)$-Freudenthal Kantor triple systems (see ref [26],[27]) and we give results for unitary and pseudo-unitary $(\epsilon,\delta)$-Freudenthal Kantor triple systems. Further, we give the notion of $\delta$-structurable algebras and connect them to $(-1,\delta)$-Freudenthal Kantor triple systems and the corresponding Lie (super) algebra construction.
|
|
| 5. |
- Kamiya, Noriaki, et al.
(författare)
-
On anti-structurable algebras
- 2011
-
Ingår i: RIMS Kokyuroku. - 1880-2818. ; 1769, s. 13-22
-
Konferensbidrag (refereegranskat)
|
|
| 6. |
|
|
| 7. |
|
|
| 8. |
- Tsujimoto, Yoshihiro, et al.
(författare)
-
Impact of mixed anion ordered state on the magnetic ground states of S=1/2 square-lattice quantum spin antiferromagnets, Sr2NiO3Cl and Sr2NiO3F
- 2022
-
Ingår i: Physical Review Materials. - : American Physical Society (APS). - 2475-9953. ; 6:11
-
Tidskriftsartikel (refereegranskat)abstract
- The magnetic properties of the S = 1/2 two-dimensional square-lattice antiferromagnets Sr2NiO3X (X = Cl, F) with the trivalent nickel ions in a low-spin state were studied by magnetic susceptibility, heat capacity, neutron powder diffraction, high-field electron spin resonance (ESR), muon spin rotation and relaxation (mu+SR) measurements, and density functional theory (DFT) calculations. Both oxyhalides are isostructural to an ideal quantum square-lattice antiferromagnet Sr2CuO2Cl2, but the chlorine/fluorine anion exclusively occupies an apical site in an ordered/disordered manner with an oxygen anion, resulting in the formation of highly distorted NiO5X octahedra with an off-center nickel ion. Magnetic susceptibility measurements revealed a remarkable difference between these two compounds: the magnetic susceptibility of Sr2NiO3Cl exhibited a broad maximum at approximately 35 K, which is typical of low-dimensional antiferromagnetic behavior. In contrast, the magnetic susceptibility of Sr2NiO3F exhibited spin-glass-like behavior below 12 K. No anomaly associated with long-range magnetic ordering was observed in the heat capacity, ESR, and neutron powder diffraction experiments. However, mu+SR measurements revealed the emergence of a static magnetic ordered state below T-N= 28 K in Sr2NiO3Cl and a short-range magnetic state below T-N= 18 K in Sr2NiO3F. The DFT calculations suggested that the unpaired electron occupied a d(3z2-r2) orbital, and ferromagnetic couplings between the nearest-neighbor nickel spins were energetically favored. The mechanism of ferromagnetic superexchange interactions and the reason for the difference between the magnetic ground states in these nickel oxyhalides are discussed.
|
|
