A New Construction of Homogeneous Quaternionic Manifolds and Related Geometric Structures |
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| Author:
| Cortes, Vicente |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-2111-4 |
| Publication Date: | Aug 2000 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $50.00 |
Book Description:
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Let $V = {{\mathbb R}}^{{p,q}}$ be the pseudo-Euclidean vector space of signature $(p,q)$, $p\ge 3$ and $W$ a module over the even Clifford algebra $C\!\ell^0 (V)$. A homogeneous quaternionic manifold $(M,Q)$ is constructed for any $\mathfrak {{spin}} (V)$-equivariant linear map $\Pi: \wedge^2 W\rightarrow V$.
Let $V = {{\mathbb R}}^{{p,q}}$ be the pseudo-Euclidean vector space of signature $(p,q)$, $p\ge 3$ and $W$ a module over the even Clifford algebra $C\!\ell^0 (V)$. A homogeneous quaternionic manifold $(M,Q)$ is constructed for any $\mathfrak {{spin}} (V)$-equivariant linear map $\Pi: \wedge^2 W\rightarrow V$.