Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

V. V. Dotsenko; A. S. Khoroshkin

doi:10.1007/s10688-007-0001-3

Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

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

Abstract

We compute the dimensions of the components for the operad of two compatible brackets and for the bi-Hamiltonian operad. We also obtain character formulas for the representations of symmetric groups and SL ₂ in these spaces.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Functional Analysis and its Applications
Volume	41
Issue number	1
DOIs	https://doi.org/10.1007/s10688-007-0001-3
State	Published - Jan 2007
Externally published	Yes

Bibliographical note

Funding Information:
∗The research of the first author is supported by President of the Russian Federation grant no. NSh-2044.2003.2 and by INTAS grant no. 03-3350. The research of the second author is supported by RFBR grant no. 04-01-00637 and INTAS grant no. 03-3350.

Keywords

Cohen-Macaulay poset
Compatible Poisson brackets
Distributive law
Koszul operad

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1007/s10688-007-0001-3

Cite this

@article{2b69c4389bcd471dba61b7b5197fd144,

title = "Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad",

abstract = "We compute the dimensions of the components for the operad of two compatible brackets and for the bi-Hamiltonian operad. We also obtain character formulas for the representations of symmetric groups and SL 2 in these spaces.",

keywords = "Cohen-Macaulay poset, Compatible Poisson brackets, Distributive law, Koszul operad",

author = "Dotsenko, {V. V.} and Khoroshkin, {A. S.}",

note = "Funding Information: ∗The research of the first author is supported by President of the Russian Federation grant no. NSh-2044.2003.2 and by INTAS grant no. 03-3350. The research of the second author is supported by RFBR grant no. 04-01-00637 and INTAS grant no. 03-3350.",

year = "2007",

month = jan,

doi = "10.1007/s10688-007-0001-3",

language = "English",

volume = "41",

pages = "1--17",

journal = "Functional Analysis and its Applications",

issn = "0016-2663",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

AU - Dotsenko, V. V.

AU - Khoroshkin, A. S.

N1 - Funding Information: ∗The research of the first author is supported by President of the Russian Federation grant no. NSh-2044.2003.2 and by INTAS grant no. 03-3350. The research of the second author is supported by RFBR grant no. 04-01-00637 and INTAS grant no. 03-3350.

PY - 2007/1

Y1 - 2007/1

N2 - We compute the dimensions of the components for the operad of two compatible brackets and for the bi-Hamiltonian operad. We also obtain character formulas for the representations of symmetric groups and SL 2 in these spaces.

AB - We compute the dimensions of the components for the operad of two compatible brackets and for the bi-Hamiltonian operad. We also obtain character formulas for the representations of symmetric groups and SL 2 in these spaces.

KW - Cohen-Macaulay poset

KW - Compatible Poisson brackets

KW - Distributive law

KW - Koszul operad

UR - http://www.scopus.com/inward/record.url?scp=33947375188&partnerID=8YFLogxK

U2 - 10.1007/s10688-007-0001-3

DO - 10.1007/s10688-007-0001-3

M3 - Article

AN - SCOPUS:33947375188

SN - 0016-2663

VL - 41

SP - 1

EP - 17

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 1

ER -

Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this