Block type symmetry of bigraded Toda Hierarchy

Details Block type symmetry of bigraded Toda Hierarchy Block type symmetry of bigraded Toda Hierarchy

2012-01-10

arxiv.org/abs/1201.1984v2

Physics

Mathematical Physics

30 pages, accepted by Journal of Mathematical Physics

Scientific paper

In this paper, we define Orlov-Schulman's operators $M_L$, $M_R$, and then use them to construct the additional symmetries of the bigraded Toda hierarchy (BTH). We further show that these additional symmetries form an interesting infinite dimensional Lie algebra known as a Block type Lie algebra, whose structure theory and representation theory have recently received much attention in literature. By acting on two different spaces under the weak W-constraints we find in particular two representations of this Block type Lie algebra.

Affiliated with

Also associated with

No associations

Rating

Block type symmetry of bigraded Toda Hierarchy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Block type symmetry of bigraded Toda Hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Block type symmetry of bigraded Toda Hierarchy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462315