Hiroshima Mathematical Journal

On reduced $Q$-functions

Tatsuhiro Nakajima and Hiro-Fumi Yamada

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 27, Number 3 (1997), 407-414.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206126959

Digital Object Identifier
doi:10.32917/hmj/1206126959

Mathematical Reviews number (MathSciNet)
MR1482948

Zentralblatt MATH identifier
0890.05075

Subjects
Primary: 05E05: Symmetric functions and generalizations
Secondary: 17B67: Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras

Citation

Nakajima, Tatsuhiro; Yamada, Hiro-Fumi. On reduced $Q$-functions. Hiroshima Math. J. 27 (1997), no. 3, 407--414. doi:10.32917/hmj/1206126959. https://projecteuclid.org/euclid.hmj/1206126959


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References

  • [1] S. Ariki, T. Nakajima and H.-F.Yamada, Weight vectors of the basic A11 module and the Littlewood-Richardson rule, J. Phys. A: Math. Gen. 28 (1995) L357-L361.
  • [2] S. Ariki, T. Nakajima and H.-F.Yamada, Reduced Schur functions and the Littlewood-Richardson coefficients, J. London Math. Soc. (to appear).
  • [3] P. Hoffman and J. F. Humphreys, Projective Representations of Symmetric Groups, Oxford 1992.
  • [4] T. Jzefiak, Schur Q-functions and applications, Proc. Hyderabad Conf. on Algebraic Groups, S. Ramanan ed., Manoj Prakashan (1991) 205-224.
  • [5] I. G. Macdonald Symmetric Functions and Hall Polynomials, 2nd ed., Oxford 1995.
  • [6] A. O. Morris and J. B. Olsson, On p-quotients for spin characters, J. Algebra 119 (1988) 51-82.
  • [7] T. Nakajima, The basic representation of affine Lie algebras and symmetric functions, Thesis, Tokyo Metropolitan University (1996).
  • [8] T. Nakajima and H.-F. Yamada, Basic representations of A and D and the polynomial solutions to the reduced BKP hierarchies, J. Phys. A: Math. Gen. 27 (1994) L171-L176.
  • [9] J. B. Olsson Combinatorics and Representations of Finite Groups, Lecture Notes, University of Essen, vol. 20 (1993).