Abstract
We denote by V a finite-dimensional vector space over a field k of characteristic not equal to 2, and denote by \(A^p(V)\) the vector space of skew-symmetric p-linear forms on V with values in k
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Notes
- 1.
Added by the authors of the Forewords. A symplectic basis of a symplectic vector space is often called, in other texts, a canonical basis or a Darboux basis.
- 2.
We assume that the readers have a basic knowledge of Lie algebras, Lie groups, and representation theory. The readers who need to improve their knowledge of these subjects are referred to [13, 31].
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Koszul, JL., Zou, Y.M. (2019). Some Algebra Basics. In: Introduction to Symplectic Geometry. Springer, Singapore. https://doi.org/10.1007/978-981-13-3987-5_1
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DOI: https://doi.org/10.1007/978-981-13-3987-5_1
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