Results 141 to 150 of about 561,255 (240)

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  

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  

Toward the Schur Expansion of Macdonald Polynomials

open access: yesThe Electronic Journal of Combinatorics, 2018
We give an explicit combinatorial formula for the Schur expansion of Macdonald polynomials indexed by partitions with second part at most two. This gives a uniform formula for both hook and two column partitions. The proof comes as a corollary to the result that generalized dual equivalence classes of permutations are in explicit bijection with unions ...
openaire   +3 more sources

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