Basic representations of A2l(2) and D l+1(2) and the polynomial solutions to the reduced BKP hierarchies

T. Nakajima, H. Yamada

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Basic representations of A2l(2) and D l+1(2) are studied. The weight vectors are represented in terms of Schur's Q-functions. The method to get the polynomial solutions to the reduced BKP hierarchies is shown to be equivalent to a certain rule in the Maya game.

Original languageEnglish
Article number004
JournalJournal of Physics A: Mathematical and General
Volume27
Issue number6
DOIs
Publication statusPublished - 1994
Externally publishedYes

Fingerprint

Polynomial Solutions
Q-function
games
hierarchies
polynomials
Polynomials
Game
Hierarchy

ASJC Scopus subject areas

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

Cite this

Basic representations of A2l(2) and D l+1(2) and the polynomial solutions to the reduced BKP hierarchies. / Nakajima, T.; Yamada, H.

In: Journal of Physics A: Mathematical and General, Vol. 27, No. 6, 004, 1994.

Research output: Contribution to journalArticle

@article{a2e0315f8b054f41a769a8add34fa68d,
title = "Basic representations of A2l(2) and D l+1(2) and the polynomial solutions to the reduced BKP hierarchies",
abstract = "Basic representations of A2l(2) and D l+1(2) are studied. The weight vectors are represented in terms of Schur's Q-functions. The method to get the polynomial solutions to the reduced BKP hierarchies is shown to be equivalent to a certain rule in the Maya game.",
author = "T. Nakajima and H. Yamada",
year = "1994",
doi = "10.1088/0305-4470/27/6/004",
language = "English",
volume = "27",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - Basic representations of A2l(2) and D l+1(2) and the polynomial solutions to the reduced BKP hierarchies

AU - Nakajima, T.

AU - Yamada, H.

PY - 1994

Y1 - 1994

N2 - Basic representations of A2l(2) and D l+1(2) are studied. The weight vectors are represented in terms of Schur's Q-functions. The method to get the polynomial solutions to the reduced BKP hierarchies is shown to be equivalent to a certain rule in the Maya game.

AB - Basic representations of A2l(2) and D l+1(2) are studied. The weight vectors are represented in terms of Schur's Q-functions. The method to get the polynomial solutions to the reduced BKP hierarchies is shown to be equivalent to a certain rule in the Maya game.

UR - http://www.scopus.com/inward/record.url?scp=21344496139&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21344496139&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/27/6/004

DO - 10.1088/0305-4470/27/6/004

M3 - Article

VL - 27

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 6

M1 - 004

ER -