hyperbolic quaternion
unital nonassociative algebra over the real numbers generated by generators π, π, π that mutually anticommute and each square to +1
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hyperbolic quaternion
Summary
hyperbolic quaternion is an algebra over a field[1]. It draws 24 Wikipedia views per month (algebra_over_a_field category, ranking #4 of 4).[2]
Key Facts
- hyperbolic quaternion's instance of is recorded as algebra over a field[3].
- hyperbolic quaternion's subclass of is recorded as hypercomplex number[4].
- hyperbolic quaternion's Freebase ID is recorded as /m/043gjs[5].
- hyperbolic quaternion's defining formula is recorded as \mathbb{HQ}=\mathbb R\langle i,j,k\rangle / (i^2-1,j^2-1,k^2-1,ij+ji,jk+kj,ik+ki)[6].
- hyperbolic quaternion's maintained by WikiProject is recorded as WikiProject Mathematics[7].
- hyperbolic quaternion's Microsoft Academic ID is recorded as 2776308074[8].
- hyperbolic quaternion's in defining formula is recorded as \mathbb R\langle~\rangle[9].
- hyperbolic quaternion's in defining formula is recorded as (~)[10].
- hyperbolic quaternion's in defining formula is recorded as /[11].
Why It Matters
hyperbolic quaternion draws 24 Wikipedia views per month (algebra_over_a_field category, ranking #4 of 4).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[12]