Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra A(1)((1))

• Ikeda, Takeshi

• Mizukawa, Hiroshi

• Nakajima, Tatsuhiro

• Yamada, Hiro-Fumi

抄録

Formulas are obtained that express the Schur S-functions indexed by Young diagrams of rectangular shape as linear combinations of "mixed" products of Schur's S- and Q-functions. The proof is achieved by using representations of the affine Lie algebra of type A(1)((1)). A realization of the basic representation that is of "D-2((2))"-type plays the central role.

収録刊行物

• Advances in Applied Mathematics

  Advances in Applied Mathematics 40 (4), 514-535, 2008-05

  Academic Press Inc Elsevier Science

キーワード

• Schur function
• Schur's Q-function
• Boson-fermion correspondence

詳細情報

• CRID: 1050846637780049408
• NII論文ID: 120002314242
• NII書誌ID: AA00064869
• ISSN: 01968858
• Web Site: https://ousar.lib.okayama-u.ac.jp/32956
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles