Assume that d β₯ 4. Then there exists a d-dimensional dual hyperoval in PG(d + n, 2) for d + 1 β€ n β€ 3d -7.
Combinatorial R Matrices for a Family of Crystals: B(1)n, D(1)n, A(2)2n, and D(2)n + 1 Cases
β Scribed by Goro Hatayama; Atsuo Kuniba; Masato Okado; Taichiro Takagi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 379 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
For coherent families of crystals of affine Lie algebras of type B Ε½1. , D Ε½1. , A Ε½2. ,
and D Ε½2. we describe the combinatorial R matrix using column insertion algonq 1 rithms for B, C, D Young tableaux. This is a continuation of previous work by the Ε½ Ε½ .
π SIMILAR VOLUMES
The isothermal and isobaric (vapour + liquid) equilibria (v.l.e.) for (N ,N -dimethylformamide + 2-propanol + 1-butanol) and the binary constituent mixtures were measured with an inclined ebulliometer. The experimental results are analyzed using the UNIQUAC equation with temperature-dependent binary
With the affine part of an oval we associate a family of d-subspaces of PG(2d + 1, 2) which can be thought of as a higher dimensional analogue of a hyperoval. The isomorphisms among such families together with their automorphisms are determined when they come from translation ovals.
TABLE 1. Densities Ο for the pure liquids at T = 298.15 K Liquid Ο/(g β’ cm -3 ) expt lit 1-Cholorooctane 0.86875 0.86876 (4) 1-Butanol 0.80575 0.80576
TABLE 1. Densities Ο for the pure liquids at T = 298.15 K Ο/(gβ’cm -3 ) Liquid expt lit 1-Chlorobutane 0.88069 0.88079 (4) 1-Butanol 0.80575 0.80576 (5)