#### Filter Results:

#### Publication Year

2003

2011

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

- Hiroshi Mizukawa
- 2011

The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case.

An expression is given for the plethysm p 2 • S , where p 2 is the power sum of degree two and S is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type A (2) 2

- ‹
- 1
- ›