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Quadratic isometric functions of the Heisenberg groups. A combinatorial proof

✍ Scribed by A. Yu. Olshanskii; M. V. Sapir


Publisher
Springer US
Year
1999
Tongue
English
Weight
444 KB
Volume
93
Category
Article
ISSN
1573-8795

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Suppose that K/U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg group H n . We say that (K, H n ) is a Gelfand pair if the convolution algebra L 1 K (H n ) of integrable K-invariant functions on H n is commutative. In this case, the Gelfand space 2(K, H n ) is equipped with th