Can the Plücker quadric be viewed as a Lie group?
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The Plücker quadric cannot be viewed as a Lie group. Lie groups are differentiable manifolds with a group structure that is compatible with the smooth structure . The Plücker quadric, on the other hand, is a concept in projective geometry and algebraic geometry . It is not defined as a differentiable manifold with a group structure. Therefore, it does not satisfy the requirements to be considered a Lie group.
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| Papers (5) | Insight |
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3 Citations | The paper does not mention anything about the Plücker quadric being viewed as a Lie group. |
2 Citations | The paper does not mention anything about the Plücker quadric being viewed as a Lie group. |
| The provided paper does not mention anything about the Plücker quadric. | |
6 Citations | The provided paper does not mention anything about the Plücker quadric. |
| The answer to the query is not provided in the paper. The paper discusses Plucker relations in Clifford's geometric algebra but does not mention the Plucker quadric or its relationship to Lie groups. |
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