Euclidian and Hyperbolic rotations

neerajareen · Aug 2, 2013

Do hyperbolic rotations of euclidian space and ordinary rotations of euclidian space form a group?

micromass · Aug 2, 2013

Yes, the ordinary rotations form a group called ##SO(n)##. The hyperbolic rotations also form a group, that's apparently called ##SO^+(1,1)##.

neerajareen · Aug 3, 2013

No I meant, can they form a group together. Can they be put in the same group? Just like how Lorentz boosts and rotations are combined into the Lorentz group?

Euclidian and Hyperbolic rotations

SUMMARY

SO(n)

SO⁺(1,1)

PREREQUISITES

SO(n)

SO⁺(1,1)

NEXT STEPS

SO(n)

SO⁺(1,1)

SO(n)

SO⁺(1,1)

USEFUL FOR

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Euclidian and Hyperbolic rotations

SUMMARY

SO(n)

SO+(1,1)

PREREQUISITES

SO(n)

SO+(1,1)

NEXT STEPS

SO(n)

SO+(1,1)

SO(n)

SO+(1,1)

USEFUL FOR

Similar threads

SO⁺(1,1)

SO⁺(1,1)

SO⁺(1,1)

SO⁺(1,1)