Abstract
We consider the Heisenberg group N as being the simply connected Lie group of Lie algebra η. Via the exponential map exp, N is identified with the 2n + 1 vector space V + ℝE with the multiplication law:
where v,v′ Є V, t,t′ Є ℝ
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© 1980 Springer Science+Business Media New York
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Lion, G., Vergne, M. (1980). The Heisenberg group and the Schrödinger representation. In: The Weil representation, Maslov index and Theta series. Progress in Mathematics, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-9154-8_3
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DOI: https://doi.org/10.1007/978-1-4684-9154-8_3
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3007-2
Online ISBN: 978-1-4684-9154-8
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