Calogero-Moser space and Kostka polynomials

Michael Finkelberg; Victor Ginzburg

doi:10.1006/aima.2002.2083

Calogero-Moser space and Kostka polynomials

Michael Finkelberg
, Victor Ginzburg^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n × n-matrices to their eigenvalues. We show that the character of a natural ℂ*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials. A similar result is proved for a cyclic version of the Calogero-Moser space.

Original language	English
Pages (from-to)	137-150
Number of pages	14
Journal	Advances in Mathematics
Volume	172
Issue number	1
DOIs	https://doi.org/10.1006/aima.2002.2083
State	Published - 1 Dec 2002
Externally published	Yes

Access to Document

10.1006/aima.2002.2083

Cite this

@article{d1a043af467a4d7a99d9f7fb224fc6d0,

title = "Calogero-Moser space and Kostka polynomials",

abstract = "We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n × n-matrices to their eigenvalues. We show that the character of a natural ℂ*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials. A similar result is proved for a cyclic version of the Calogero-Moser space.",

author = "Michael Finkelberg and Victor Ginzburg",

year = "2002",

month = dec,

day = "1",

doi = "10.1006/aima.2002.2083",

language = "אנגלית",

volume = "172",

pages = "137--150",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Calogero-Moser space and Kostka polynomials

AU - Finkelberg, Michael

AU - Ginzburg, Victor

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n × n-matrices to their eigenvalues. We show that the character of a natural ℂ*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials. A similar result is proved for a cyclic version of the Calogero-Moser space.

AB - We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n × n-matrices to their eigenvalues. We show that the character of a natural ℂ*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials. A similar result is proved for a cyclic version of the Calogero-Moser space.

UR - https://www.scopus.com/pages/publications/0036925755

U2 - 10.1006/aima.2002.2083

DO - 10.1006/aima.2002.2083

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0036925755

SN - 0001-8708

VL - 172

SP - 137

EP - 150

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

Calogero-Moser space and Kostka polynomials

Abstract

Access to Document

Other files and links

Fingerprint

Cite this