Weight vectors of the basic A1(1)-module and the Littlewood-Richardson rule

S. Ariki; T. Nakajima; H. F. Yamada

doi:10.1088/0305-4470/28/13/001

Weight vectors of the basic A₁⁽¹⁾-module and the Littlewood-Richardson rule

S. Ariki, T. Nakajima, H. F. Yamada

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

3 Citations (Scopus)

Abstract

The basic representation of A₁⁽¹⁾ is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. The Littlewood-Richardson rule appears in the linear relations among weight vectors.

Original language	English
Article number	001
Pages (from-to)	L357-L361
Journal	Journal of Physics A: Mathematical and General
Volume	28
Issue number	13
DOIs	https://doi.org/10.1088/0305-4470/28/13/001
Publication status	Published - 1995
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

Access to Document

10.1088/0305-4470/28/13/001

Cite this

@article{1996dbc57d964359918b561dd2c45a9c,

title = "Weight vectors of the basic A1(1)-module and the Littlewood-Richardson rule",

abstract = "The basic representation of A1(1) is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. The Littlewood-Richardson rule appears in the linear relations among weight vectors.",

author = "S. Ariki and T. Nakajima and Yamada, {H. F.}",

year = "1995",

doi = "10.1088/0305-4470/28/13/001",

language = "English",

volume = "28",

pages = "L357--L361",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "13",

}

TY - JOUR

T1 - Weight vectors of the basic A1(1)-module and the Littlewood-Richardson rule

AU - Ariki, S.

AU - Nakajima, T.

AU - Yamada, H. F.

PY - 1995

Y1 - 1995

N2 - The basic representation of A1(1) is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. The Littlewood-Richardson rule appears in the linear relations among weight vectors.

AB - The basic representation of A1(1) is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. The Littlewood-Richardson rule appears in the linear relations among weight vectors.

UR - http://www.scopus.com/inward/record.url?scp=21844521764&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844521764&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/28/13/001

DO - 10.1088/0305-4470/28/13/001

M3 - Article

AN - SCOPUS:21844521764

SN - 0305-4470

VL - 28

SP - L357-L361

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 13

M1 - 001

ER -

Weight vectors of the basic A₁⁽¹⁾-module and the Littlewood-Richardson rule

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this