𝔖 Bobbio Scriptorium
✦   LIBER   ✦

B-Orbits in Solutions to the Equation X2 = 0 in Triangular Matrices

✍ Scribed by Anna Melnikov

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
223
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Consider I n K , the set of solutions to the equation X 2 = 0 in n Γ— n strictly uppertriangular matrices over field K. In this paper we construct the bijection from the set of adjoint orbits in I n K onto the set of involutions in symmetric group S n . For a finite field K we compute the number of points in the orbits.

πŸ“œ SIMILAR VOLUMES

Positive Solutions of the Equation αΊ‹(t)&
Positive Solutions of the Equation αΊ‹(t) = βˆ’c(t)x(t βˆ’ Ο„) in the Critical Case
✍ J. DiblΔ±́k; N. Koksch πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 165 KB

The equation x t y c t x t y is considered in the critical case. For it, the Θ§symptotic behavior of dominant and subdominant solutions is studied. A generalization is made and connections with known results are discussed.

(p, ρ, T) measurements of (ammonia 
(p, ρ, T) measurements of (ammonia +  water) in the temperature range 310 K to 400 K at pressures up to 17 MPa. II. Measurements of{ xNH3 +  (1  βˆ’ x )H2O } at x = (1.0000, 0.8374, 0.6005, and 0.2973)
✍ J. Kondo; Y. Yasukawa; M. Uematsu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 430 KB

Measurements of ( p, ρ, T ) for {x NH 3 + (1 -x)H 2 O} at x = (1.0000, 0.8374, 0.6005, and 0.2973) and at specified temperatures and pressures in the compressed liquid phase were carried out with a metal-bellows variable volumometer between T = 310 K and T = 400 K at pressures up to 17 MPa. The resu

( p, ρ, T) measurements of (ammonia&#xa0
( p, ρ, T) measurements of (ammonia +  water) in the temperature range 310 K to 400 K at pressures up to 17 MPa. I. Measurements of { xNH 3 +  (1  βˆ’ x ) H 2O } at x =  (0.8952, 0.8041, 0.6985, 0.5052, and 0.1016)
✍ T Munakata; K Kasahara; M Uematsu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 483 KB

p, ρ, T ) measurements of (ammonia + water) in the temperature range 310 K to 400 K at pressures up to 17 MPa. I. Measurements of {xNH 3 + (1 -x)H 2 O} at x = (0.8952, 0.8041, 0.6985, 0.5052, and 0.1016)

The coexistence curves of { x C6H5NO2&#x
The coexistence curves of { x C6H5NO2 + (1 βˆ’ x)CH3(CH2)4CH3} and { x C6H5NO2 + (1 βˆ’ x)CH3(CH2)5CH3} in the critical region
✍ Kai Tang; Congshan Zhou; Xueqin An; Weiguo Shen πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 158 KB

Coexistence curves of (T, n), (T, x), and (T, Ο†) where n, x, and Ο† are the refractive index, the mole fraction, and the volume fraction, respectively, for the binary mixtures {xC 6 H 5 NO 2 +(1x)CH 3 (CH 2 ) 4 CH 3 } and {xC 6 H 5 NO 2 +(1x)CH 3 (CH 2 ) 5 CH 3 } have been determined within about 10

Thermodynamic properties of {xCH3OH &#xa
Thermodynamic properties of {xCH3OH  + (1βˆ’x)H2O} withx =  (1.0000 and 0.4993) in the temperature range from 320 K to 420 K at pressures up to 200 MPa
✍ O. Osada; M. Sato; M. Uematsu πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 175 KB

Measurements of ( p, ρ, T ) for {xCH 3 OH + (1x)H 2 O} with x = (1.0000 and 0.4993) at specified temperatures and pressures in the compressed liquid phase were carried out with a metal-bellows variable volumometer along six isotherms between T = 320 K and T = 420 K at pressures from the bubble point