I've already looked at it, but it didn't help. Another point of view: If I'd have a solution to the following question, this would solve my problem:

http://www.mapleprimes.com/forum/virasoroalgebra

thanks.

I've already looked at it, but it didn't help. Another point of view: If I'd have a solution to the following question, this would solve my problem:

http://www.mapleprimes.com/forum/virasoroalgebra

thanks.

Yes, s is an integer. And the superscripts are the roots of the lie algebra, therefore they are vectors with integer entries. By '[ , ]' I denoted the commutator relations for Q_s^x . The latter generators Q_s^x are not commutative in general.

These generators generate (in the physical sense, if applied to some vacuum vector) a particle state with a specific momentum s in some space (referred by x).

thanks.

Yes, s is an integer. And the superscripts are the roots of the lie algebra, therefore they are vectors with integer entries. By '[ , ]' I denoted the commutator relations for Q_s^x . The latter generators Q_s^x are not commutative in general.

These generators generate (in the physical sense, if applied to some vacuum vector) a particle state with a specific momentum s in some space (referred by x).

thanks.