Abstract This paper gives a classification of stable vectors in dual Vinberg representations coming from graded Lie algebra type F 4 way that is independent the field definition. Relating these gradings to Moy–Prasad filtrations, we obtain input for Reeder–Yu’s construction epipelagic supercuspidal representations. As corollary, this new $F_{4}(\mathbb {Q}_{p})$ <mml:math xmlns:mml="http://www....

Squaric acid dibutylester (SADBE) is a topical sensitizer useful for contact immunotherapy of alopecia areata (AA). However, the mechanism action not fully understood. Macrophages activated by cytokines such as IL-1β or IL-4 are reported to promote hair growth. M2 macrophages induced IL-4, IL-10 IL-13 exhibit anti-inflammatory function and produce several growth factors that induce tissue repai...

We prove that the Chow motive of an anisotropic projective homogeneous variety of type F4 is isomorphic to the direct sum of twisted copies of a generalized Rost motive. In particular, we provide an explicit construction of a generalized Rost motive for a generically splitting variety for a symbol in K3 (k)/3. We also establish a motivic isomorphism between two anisotropic non-isomorphic projec...

Abstract. A general method for computing irreducible representations of Weyl groups and Iwahori-Hecke algebras was introduced by the first author in [8]. In that paper the representations of the algebras of types An, Bn, Dn and G2 were computed and it is the purpose of this paper to extend these computations to F4. The main goal here is to compute irreducible representations of the Iwahori-Heck...

Methods: A case-control study involving 50 herds was conducted. Information on hygiene, management, facilities, management of diarrhea, porcine reproductive and respiratory syndrome virus (PRRSV) status, and nursery feed management was collected through a questionnaire. Rectal swabs and sera collected from ten weaned pigs in each herd were tested for F4+ (K88+) E coli and antibodies to two vira...

Segregating F4 families from the cross between drought sensitive (Yecora Rojo) and drought tolerant (Pavon 76) genotypes were made to identify SSR markers linked to leaf chlorophyll content, flag leaf senescence and cell membrane stability traits in wheat (Triticum aestivum L.) under water-stressed condition and to map quantitative trait locus (QTL) for the three physiological traits. The paren...

Toxic and fimbrial virulence factors as well as genetic diversity of 11 Escherichia coli O149:K91, F4 strains isolated from pigs with diarrhoea in Germany were examined. The ability of enterobacterial repetitive intergenic consensus – polymerase chain reaction (ERIC-PCR) to discriminate E. coli strains was evaluated. Two different virulence marker profiles: F4/EAST1/LTI/STII and F4/EAST1/LTI/ST...

Although breeding of F4 receptor - negative (F4R(-)) pigs may prevent post-weaning diarrhea, the underlying immunity is poorly understood. Here, various doses of a Bacillus licheniformis and Bacillus subtilis mixture (BLS-mix) were orally administered to F4ab/acR(-) pigs for 1 week before F4 (K88) - positive ETEC/VTEC/EPEC challenge. Administration of BLS-mix increased the percentage of Foxp3(-...

We determine the admissible nilpotent coadjoint orbits of real and p-adic split exceptional groups of types G2, F4, E6 and E7. We find that all Lusztig-Spaltenstein special orbits are admissible. Moreover, there exist nonspecial admissible orbits, corresponding to “completely odd” orbits in Lusztig’s special pieces. In addition, we determine the number of, and representatives for, the non-even ...

This paper introduces a new efficient algorithm, called MXL3, for computing Gröbner bases of zero-dimensional ideals. The MXL3 is based on XL algorithm, mutant strategy, and a new sufficient condition for a set of polynomials to be a Gröbner basis. We present experimental results comparing the behavior of MXL3 to F4 on HFE and random generated instances of the MQ problem. In both cases the firs...