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A Chevalley involution C of a connected reductive group G satisfies C(h) = h−1 for all h in some Cartan subgroup of G. Furthermore, C takes any semisimple1 element to a conjugate of its inverse....
A Franklin Type Involution for Squares
Franklin type involution Ramanujan's partial theta identity Andrews' identity
2014/6/3
We find an involution as a combinatorial proof of a Ramanujan's partial theta identity. Based on this involution, we obtain a Franklin type involution for squares in the sense that the classical Frank...
An Involution for the Gauss Identity
involution Ferrers diagrams Gauss identity Gauss coefficients Schur function plethysm
2014/6/3
We obtain an involution for a classical identity of Guass on the alternating sum of the Gauss coefficients. It turns out that the refinement of our involution with restrictions on the heights of Ferre...