Übersetzung für 'quaternion algebra' von Englisch nach Deutsch

quaternion algebra

Quaternionen-Algebra {f}math.

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canonical anticommutation relations algebra <CAR algebra>

CAR-Algebra {f}math.

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canonical commutation relations algebra <CCR algebra>

CCR-Algebra {f}math.

approximately finite algebra <AF algebra>

AF-Algebra {f}math.

approximately finite dimensional C*-algebra <AF C*-algebra>

AF-C*-Algebra {f}math.

quaternion

Quaternion {f}math.

quaternion group <Q8>

Quaternionengruppe {f} <Q8>math.

Quaternion Eagle [Holy Roman Empire]

Quaternionenadler {m} [Heiliges Römisches Reich]hist.

algebra

Algebra {f}math.

Hopf algebra

Hopf-Algebra {f}math.

Heyting algebra

Heyting-Algebra {f}math.

Jordan algebra

Jordan-Algebra {f}math.

incidence algebra

Inzidenzalgebra {f}math.

Lie algebra

Lie-Algebra {f}math.

Lie'sche Algebra {f}math.

division algebra

Divisionsalgebra {f}math.

W*-algebra

W*-Algebra {f} [von-Neumann-Algebra]math.

field algebra

Feldalgebra {f}math.phys.

normed algebra

normierte Algebra {f}math.

σ-algebra

σ-Algebra {f}math.

Heisenberg algebra

Heisenberg-Algebra {f}math.

• The classic reason (due to Serre) is that if "X" is a supersingular elliptic curve, then its endomorphism ring is a maximal order in a quaternion algebra "B" over Q ramified at "p" and ∞.
• In positive characteristic it is possible for the endomorphism ring to be even larger: it can be an order in a quaternion algebra of dimension 4, in which case the elliptic curve is supersingular.
• The collection of versors with quaternion multiplication forms a group, and the set of versors is a 3-sphere in the 4-dimensional quaternion algebra.
• A cyclic algebra, introduced by L. E. Dickson, is a generalization of a quaternion algebra.
• He proceeded to Caius College, Cambridge, there taking up a study of the quaternion algebra.

• Furthermore, just as the quaternion algebra H can be viewed as a union of complex planes, so the hyperbolic quaternion algebra is a union of split-complex number planes sharing the same real line.
• Sometimes a redundant fourth number is added to simplify operations with quaternion algebra.
• For example, in the quaternion algebra H, the splitting above shows that the element "t" + "x" i + "y" j + "z" k has reduced norm "t"2 + "x"2 + "y"2 + "z"2 and reduced trace 2"t".
• For example, applying this to a quaternion algebra ("a", "b") over Q gives the quadratic reciprocity law.
• For example, if [...] , then [...] is the usual quaternion algebra.

• in the quaternion algebra, [...] is then the group of norm 1 elements in [...].