Mathematics – Representation Theory
Scientific paper
1998-07-25
Mathematics
Representation Theory
15 pp, AMSTEX: 1st part - math.RT/9806140
Scientific paper
Some natural hidden symmetries in the Verma modules over the Virasoro algebra are constructed in terms of geometric quantization. Their differential geometric meaning is established and their expression via $q_R$-conformal symmetries in the Verma modules over the Lie algebra $sl(2,C)$ is found. The analysis and the unraveling of the algebraic structure of these families of hidden symmetries are performed.
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