Symplectic Representation

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical field of representation theory, a symplectic representation is a representation of a group or a Lie algebra on a symplectic vector space (V, ) which preserves the symplectic form . Here is a nondegenerate skew symmetric bilinear formIf G is a compact group (for example, a finite group), and F is the field of complex numbers, then by introducing a compatible unitary structure (which exists by an averaging argument), one can show that any complex symplectic representation is a quaternionic representation. Quaternionic representations of finite or compact groups are often called symplectic representations, and may be identified using the Frobenius-Schur indicator.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131238154
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131238154
    • Format Fachbuch
    • Titel Symplectic Representation
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 96
    • Genre Mathematik

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