For n 1, let L n be the set of lecture hall partitions of length n, that is, the set of n-tuples of integers \*=(\* 1 , ..., \* n ) satisfying 0 \* 1 Â1 \* 2 Â2 } } } \* n Ân. Let W\*X be the partition (W\* 1 Â1X, ..., W\* n ÂnX), and let o(W\*X) denote the number of its odd parts. We show that the
On a Refinement of the Gelfand-Raikov Theorem
✍ Scribed by Zoltán Sasvári
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 121 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abetrect. I n the present note we give a simple and short proof of the following refinement of the GELFAND-RAIKOV theorem due to M. E. WALTER [2]: Given a locally compact group G and two elements xl, z g E G, neither of which is the identity e of G, then there exists a continuous, imedocible, unitary representation (U,
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