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Title:
Hidden symmetries in equivariant cohomology related to quantum groups
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Abstract:
The standard torus action on a vector spaces C^ninduces the action on the partial flag varieties in C^n. The scalar matrices act trivially on the partial flags, hence in fact we have an action of the torus of one dimension less. We will show how this "missed in action" one dimensional torus shows up in the "hidden" action of the Yang Baxter algebras of a certain quantum Integrable systems from statistical physics on the equivariant
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