Symplectic Group
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Beschrijving
Bol
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the name symplectic group can refer to two different, but closely related, types of mathematical groups. In this article, we shall denote these two groups Sp(2n, F) and Sp(n). The latter is sometimes called the compact symplectic group to distinguish it from the former. Note that many authors prefer slightly different notations, usually differing by factors of 2. The notation used here is consistent with the size of the matrices used to represent the groups. In Cartan's classification of the simple Lie algebras, the Lie algebra of the complex group Sp(2n, C) is denoted Cn, and Sp(n) is the compact real form of Sp(2n, C).
Beschrijving
(2)
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the name symplectic group can refer to two different, but closely related, types of mathematical groups. In this article, we shall denote these two groups Sp(2n, F) and Sp(n). The latter is sometimes called the compact symplectic group to distinguish it from the former. Note that many authors prefer slightly different notations, usually differing by factors of 2. The notation used here is consistent with the size of the matrices used to represent the groups. In Cartan's classification of the simple Lie algebras, the Lie algebra of the complex group Sp(2n, C) is denoted Cn, and Sp(n) is the compact real form of Sp(2n, C).
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