Results 161 to 170 of about 95,105 (247)

Flags of sheaves, quivers and symmetric polynomials

open access: yesForum of Mathematics, Sigma
We study a quiver description of the nested Hilbert scheme of points on the affine plane and its higher rank generalization – that is, the moduli space of flags of framed torsion-free sheaves on the projective plane.
Giulio Bonelli   +2 more
doaj   +1 more source

An analogue of Schur functions for the plane partitions

open access: yesPhysics Letters B, 2018
An attempt is described to extend the notion of Schur functions from Young diagrams to plane partitions. The suggestion is to use the recursion in the partition size, which is easily generalized and deformed.
A. Morozov
doaj  

Macdonald characters from a new formula for Macdonald polynomials [PDF]

open access: yesarXiv
We introduce a new operator $\Gamma$ on symmetric functions, which enables us to obtain a creation formula for Macdonald polynomials. This formula provides a connection between the theory of Macdonald operators initiated by Bergeron, Garsia, Haiman and Tesler, and shifted Macdonald polynomials introduced by Knop, Lassalle, Okounkov and Sahi.
arxiv  

Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems

open access: yesNuclear Physics B
Macdonald symmetric polynomial at t=q−m reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those induced by ...
A. Mironov, A. Morozov, A. Popolitov
doaj  

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