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Transitivity in integral symplectic forms

Published online by Cambridge University Press:  09 April 2009

D. G. James
D. G. James
Affiliation:
The Pennsylvania State University
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A Symplectic lattice L is a free Z-module of finite rank endowed with a non-degenerate alternating bilinear form. Thus we have a bilinear mapping Φ of L × L into the domain of integers Z; we donote Φ (α, β) by α · β (where α, β ∈ L). Then α2 = 0 and α·β = −β·α.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1968 , pp. 43 - 48
Copyright
Copyright © Australian Mathematical Society 1968

References

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