Triality Type and its Generalization in Unitary Symmetry Theories
نویسندگان
چکیده
منابع مشابه
The Unitary Gas and its Symmetry Properties
The physics of atomic quantum gases is currently taking advantage of a powerful tool, the possibility to fully adjust the interaction strength between atoms using a magnetically controlled Feshbach resonance. For fermions with two internal states, formally two opposite spin states ↑ and ↓, this allows to prepare long lived strongly interacting three-dimensional gases and to study the BEC-BCS cr...
متن کاملMoufang symmetry II. Moufang-Mal’tsev pairs and triality
A concept of the Moufang-Malt’tsev pair is elaborated. This concept is based on the generalized Maurer-Cartan equations of a local analytic Moufang loop. Triality can be seen as a fundamental property of such pairs. Based on triality, the Yamagutian is constructed. Properties of the Yamagutian are studied. 2000 MSC: 17D10
متن کاملthe past hospitalization and its association with suicide attempts and ideation in patients with mdd and comparison with bmd (depressed type) group
چکیده ندارد.
Triality and Algebraic Groups of Type
We determine which simple algebraic groups of type D4 over arbitrary fields of characteristic different from 2 admit outer automorphisms of order 3, and classify these automorphisms up to conjugation. The criterion is formulated in terms of a representation of the group by automorphisms of a trialitarian algebra: outer automorphisms of order 3 exist if and only if the algebra is the endomorphis...
متن کاملTriality and algebraic groups of type
We determine which simple algebraic groups of type D4 over arbitrary fields of characteristic different from 2 admit outer automorphisms of order 3, and classify these automorphisms up to conjugation. The criterion is formulated in terms of a representation of the group by automorphisms of a trialitarian algebra: outer automorphisms of order 3 exist if and only if the algebra is the endomorphis...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1964
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1704243