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Equality of vectors - Unit quaternion rotation does not change a vector

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#abstract-algebra #vectors #quaternions
31
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Conversion of complex number/quaternion to real vector

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#complex-numbers #notation #vectors #quaternions
546
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"Imaginary" part of a quaternion

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#notation #quaternions
337
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How to Solve Quaternionic Equations?

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#quaternions
129
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Quaternion roots for $x^2+2x+2$

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#geometry #polynomials #quaternions
97
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Describe quaternion solutions to $x^2-3x+3=0$

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#polynomials #quaternions
142
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Is there a reasonable limit to how far you can generalise complex numbers?

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#abstract-algebra #complex-numbers #real-numbers #quaternions #octonions
53
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How am I getting i = -i from the quaternion formula?

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#quaternions
45
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Prove whether it is a homomorphism.

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#group-theory #symmetric-groups #group-homomorphism #quaternions
131
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Naïve question about the general form of elements of $SU(2)$ and a homomorphism from $S^3$ to $SU(2)$ .

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#group-theory #lie-groups #quaternions
830
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Show that the unit quaternions form a group.

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#abstract-algebra #group-theory #solution-verification #quaternions #spheres
238
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Fundamental theorem of algebra for Quaternions and Octonions -- and the completeness

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#abstract-algebra #number-theory #field-theory #quaternions #octonions
139
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Invertible lattices in are well behaved: IJ is invertible iff I, J are

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#number-theory #quaternions #noncommutative-algebra
146
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Quaternion starting assumptions

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#coordinate-systems #quaternions
53
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Can anybody shed some light on the importance of the notion of compatibility of products of lattices in quaternion algebras?

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#quaternions #noncommutative-algebra #ideal-class-group

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