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Verma modules over the virasoro algebra

โœ Scribed by B. L. Feigin; D. B. Fuks

Publisher
Springer US
Year
1984
Tongue
English
Weight
150 KB
Volume
17
Category
Article
ISSN
0016-2663

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Let F be a รฟeld of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any ฤ‹; h โˆˆ F, a Verma module M ( ฤ‹; h) over the generalized Virasoro algebra Vir[G] is deรฟned. In the present p

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Let g denote the Virasoro Lie algebra, h its Cartan subalgebra, and S(h) the symmetric algebra on h. In this paper we consider "thickened" Verma modules M(ฮป) which are (U (g), S(h))-bimodules satisfying M(ฮป) โŠ— S(h) C โˆผ = M(ฮป) where M(ฮป) is the usual Verma module with highest weight ฮป โˆˆ h \* . We det