An analogue of Schur functions for the plane partitions

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. This opens a possibility to obtain Macdonald polynomials by a change of recursion coefficie...

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Main Author:	A. Morozov
Format:	Article
Language:	English
Published:	Elsevier 2018-10-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269318306555

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spelling	doaj-4ecd0b74dda24b58bcd087da8def47972020-11-24T21:13:49ZengElsevierPhysics Letters B0370-26932018-10-01785175183An analogue of Schur functions for the plane partitionsA. Morozov0ITEP, Moscow, Russia; IITP, Moscow, Russia; Correspondence to: ITEP, Moscow, Russia.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. This opens a possibility to obtain Macdonald polynomials by a change of recursion coefficients and taking appropriate limit from three to two dimensions – though details still remain to be worked out.http://www.sciencedirect.com/science/article/pii/S0370269318306555
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Morozov
spellingShingle	A. Morozov An analogue of Schur functions for the plane partitions Physics Letters B
author_facet	A. Morozov
author_sort	A. Morozov
title	An analogue of Schur functions for the plane partitions
title_short	An analogue of Schur functions for the plane partitions
title_full	An analogue of Schur functions for the plane partitions
title_fullStr	An analogue of Schur functions for the plane partitions
title_full_unstemmed	An analogue of Schur functions for the plane partitions
title_sort	analogue of schur functions for the plane partitions
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2018-10-01
description	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. This opens a possibility to obtain Macdonald polynomials by a change of recursion coefficients and taking appropriate limit from three to two dimensions – though details still remain to be worked out.
url	http://www.sciencedirect.com/science/article/pii/S0370269318306555
work_keys_str_mv	AT amorozov ananalogueofschurfunctionsfortheplanepartitions AT amorozov analogueofschurfunctionsfortheplanepartitions
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An analogue of Schur functions for the plane partitions

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