Infinite dimensional geometry of M₁=Diff₊(S¹)/PSL(2,R) and q_R-conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra

1998/07/25 by Denis V. Juriev, Juriev, Denis V.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.DG #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/9807142

15 pp, AMSTEX: 1st part - math.RT/9806140

arxiv created 1998/07/25 · arxiv updated 2009/11/30

Abstract

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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