Compound Basis Arising from the Basic A1(1)-module

Kazuya Aokage; Hiroshi Mizukawa; Hiro Fumi Yamada

doi:10.1007/s11005-008-0248-5

Compound Basis Arising from the Basic A₁⁽¹⁾-module

Kazuya Aokage, Hiroshi Mizukawa, Hiro Fumi Yamada

Faculty of Science

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

1 Citation (Scopus)

Abstract

A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natural Schur function basis is investigated.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Letters in Mathematical Physics
Volume	85
Issue number	1
DOIs	https://doi.org/10.1007/s11005-008-0248-5
Publication status	Published - Jul 1 2008

Keywords

Affine Lie algebras
Schur functions
Transition matrices

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s11005-008-0248-5

Cite this

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title = "Compound Basis Arising from the Basic A1(1)-module",

abstract = "A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natural Schur function basis is investigated.",

keywords = "Affine Lie algebras, Schur functions, Transition matrices",

author = "Kazuya Aokage and Hiroshi Mizukawa and Yamada, {Hiro Fumi}",

year = "2008",

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T1 - Compound Basis Arising from the Basic A1(1)-module

AU - Aokage, Kazuya

AU - Mizukawa, Hiroshi

AU - Yamada, Hiro Fumi

PY - 2008/7/1

Y1 - 2008/7/1

N2 - A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natural Schur function basis is investigated.

AB - A new basis for the polynomial ring of infinitely many variables is constructed which consists of products of Schur functions and Q-functions. The transition matrix from the natural Schur function basis is investigated.

KW - Affine Lie algebras

KW - Schur functions

KW - Transition matrices

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JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

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