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arxiv: 1102.0816 · v2 · pith:C3KDZ5CCnew · submitted 2011-02-04 · 🧮 math.QA · math-ph· math.AG· math.MP

Cohomology of a flag variety as a Bethe algebra

classification 🧮 math.QA math-phmath.AGmath.MP
keywords algebrabethecohomologyflagvarietyassociatedequivariantflags
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We interpret the GL_n equivariant cohomology of a partial flag variety of flags of length N in \C^n as the Bethe algebra of a suitable gl_N[t] module associated with the tensor power (\C^N)^{\otimes n}.

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