Supertraces on the algebra of observables of the rational Calogero model based on the classical root system

A complete set of supertraces on the algebras of observables of the rational Calogero models with harmonic interaction based on the classical root systems of B_N, C_N and D_N types is found. These results extend the results known for the case A_N. It is shown that there exist Q independent supertraces where Q(B_N)=Q(C_N) is a number of partitions of N into a sum of positive integers and Q(D_N) is a number of partitions of N into a sum of positive integers with even number of even integers.Comment: 10 pages, LATE

A new Ictidosuchid (Scaloposauria) from the Lystrosaurus-zone

NoneThis paper describes a specimen recently discovered in Lystrosaurus-zone strata in the Bergville district of Natal. While a contemporary of Scaloposaurus, it has retained much of the general structure of the earlier lctidosuchidae of the Cistecephalus-zone and in a few minor respects it shows affinity with the Therocephalia, beyond the characteristics of the infra-order. The specimen consists of a good skull with lower jaw, the whole pectoral girdle with the right fore limb, and a length of anterior vertebral column with ribs; these are figured as preserved. The skull is additionally figured in three views with distortion corrected. The specimen is identified as a new genus and species, belonging to the family lctidosuchidae of the infra-order Scaloposauria, and the name Olivieria parringtoni is proposed.Non

A new large Bauriamorph from the Cynognathus-zone of South Africa

Main articleThe specimen forming the subject of this paper is the anterior two-thirds of a very large Bauria skull. It is described as a new species, Bauria robusta. It is pointed out that the skull is perhaps as much as 20 per cent larger than the largest known specimen of Bauria cynops, which in turn is about 15 per cent larger than the average of all other known specimens of the genotype. Many of the measurements are derived from reconstructed figures and if these measurements should prove to be less, the new skull would undoubtedly prove to be proportionally different, in which case its recognition as a new species would be more substantial. The features on which the specimen can at present be recognised as a new species are size, the greater number of cheek teeth (11 as compared with 9 in B. cynops), the weaker canines and the absence of an interpterygoid vacuity.Non

Notes on some Whaitsiids and Moschorhinids

Main articleThis paper contains descriptions of five genera. The first is a redescription of the type specimen of Notosollasia boonstrai, which has been additionally cleaned since it was first introduced. It has, lodged in its "throat", the crushed skull of a "Dicynodon" and circumstances indicate that the Notosollasia died while devouring its prey. The second specimen is recognised as perhaps representing the doubtful genus Notaelurops. It was earlier identified as a small Notosollasia longiceps. The third specimen is not a Whaitsiid, but being a contemporary form with some vague affinities to Moschorhinus, it is taken into consideration. It is named Hewittia albanensis gen. et sp. nov. A snout of Moschorhinus kitchingi, also mentioned in a previous publication, is redescribed and figured. The fifth specimen is a beautiful and complete skull of a new species, Moschorhinus natalensis, the first specimen of this genus that has the whole of the posterior half of the skull preserved and it is peculiar in that it dates from the Lystrosaurus-zone. An interesting new arrangement in the replacement of the canines in this family is analysed.Non

On two new specimens of Lystrosaurus-zone cynodonts

Main articleIn this paper the skulls of two new specimens of Lystrosaurus-zone cynodonts are described. One is a skull of Notictosaurus luckhoffi Broom, and it is pointed out that the other two species, N. gracilis and N. trigonocephalus, are respectively the young and the adult of the genotype. N. gracilis was described on only one small skull amongst more than three skulls and skeletons intimately associated in one block with the skull and skeleton of the adult, only the skull of which was subsequently described as N. trigonocephalus. At the time of description this block was in different fragments and the authors of the new species were not conscious of their association. The second new specimen is a close ally, but different enough to be recognised as a separate genus. While it cannot satisfactorily be contrasted with Cynosuchoides whaitsi, it is identified and described as belonging to this genus and species. Our knowledge thus far of this form is based on one imperfectly preserved skull.Non

A new gomphodont cynodont from the Cynognathus zone of South Africa

Main articleThis paper describes a somewhat peculiar new gomphodont cynodont from Cynognathus-zone beds of the Karroo System of South Africa. It is a fairly good skull, with lower jaw in position, but lacking the anterior portion of the snout. Its peculiarity lies in the fact that while the posterior portion of the dentary is powerfully expanded in true gomphodont style, the zygomatic arch is very weakly developed, unlike the condition in any of its other cynodont contemporaries. It is described as a new genus and species, Cragievarus kitchingi, generically after the locality Cragievar and specifically after its collector, Mr J. W. Kitching.Non

A new type of primitive Cynodont

Main articleA very interesting ancestral type of Cynodont is described in reasonable detail from serial sections, graphical figures, and a complete wax model, four times natural size. The form is recognised as a new genus and species, for which the name Scalopocynodon gracilis is proposed. It is the earliest true Cynodont, from the base of the lower Cistecephalus-zone. Although its nearest allies are the somewhat later Silphedestids and Procynosuchids, it has unmistakably very close affinity with the base of the Ictidosuchid-Scloposaurid branch of the Therocephalians. Thus new light is cast on the origin of the Cynodonts and their general relationship with the Therocephalia. The specimen was thought to be a Scaloposaurus before it was decided to subject it to serial grinding.Non

A new skull of the procynosuchid Cynodont Leavachia duvenhagei Broom

Main articleThis paper describes one of the most excellent, complete, virtually undamaged and undistorted skulls of a Karroo therapsid yet found. It is of exactly the same size as the type specimen of Leavachia duvenhagei Broom, housed in the Rubidge Collection. Nearly every detail of the structure of the skull can be traced, except structures on the inside of the cranial cavities and details obscured by the lower jaw which is in good occlusion. It is the third specimen of this species on record and this description renders it the best known specimen of all procynosuchid species. It is pointed out that the genera Leavachia and Procynosuchus are not readily distinguishable, but this may be due to lack of knowledge of the latter genus.Non

Speculations on some advanced mammalian characteristics in the higher mammal-like reptiles

Main articleThis paper deals with a number of skeletal characters of the higher mammal-like reptiles from which inferences may be drawn regarding soft anatomical and physiological features. Although these characters, when evaluated individually, do not indicate conclusively the exact proximity of these animals to truly mammalian conditions, the collective evidence and mutual support which they afford suggest that enlightening progress can be made towards establishing the following: the significance of the mammalian single dental succession, secondary palate, ethmoturbinals, as related to a high constant blood temperature; the latter's relationship, in turn, to hair and sweat glands; the origin of milk glands; and the mode and significance of mammalian birth. These considerations throw some instructive light on the origin of mammals.Non