XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022
In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this year's meeting) the site of our Workshop to the campus of our University in Białystok.

Aleksandr Orlov


Schur functions expressed in projective Schur functions


It is known that the square of any projective Schur $Q$-function is the Schur $s$-function evaluated on a special Young diagram and restricted on the locus $p_{2i}=0$ as the function of power sums $p_1,p_2,\dots$. We present the expression of the Schur $s$-function without these restrictions as certain bilinear sum of the Schur $Q$-functions. One can prove this statement using the fermionic approach to these special functions. (Along the joint work with J.Harnad).







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