Let g be a complex simple Lie algebra, and h ⊂ g be a Cartan subalgebra. In the end of 1990s, B. Kostant defined two filtrations on h, one using the Clifford algebras and the odd analogue of the Harish-Chandra projection hcodd : Cl(g) → Cl(h), and the other one using the canonical isomorphism ȟ = h∗ (here ȟ is the Cartan subalgebra in the simple Lie algebra ǧ corresponding to the dual root syst...

This paper is dedicated to the study of smashing weight structures (these are "coherent with coproducts"), and application their properties t-structures. In particular, we prove that hearts compactly generated t-structures Grothendieck abelian categories; this statement strengthens earlier results several other authors. The central theorem as follows: any perfect (as defined by Neeman) set obje...

W zapisach dawnych s?owia?skich nazw miejscowych i terenowych Pomorza Zachodniego afrykatyzacj? *r' > ?, rz itp. obserwujemy na terenach s?siaduj?cych z gwarami kaszubsko-s?owi?skimi wschód od rzeki S?upia oraz, rzadko, wzd?u? po?udniowo-wschodniej granicy Pomorza. Na terenie niemieckiego Przedniego, Meklemburgii w gwarach Po?abia afrykatyzacja nie nast?pi?a. ?wiadczy to o dawnym zró?nicowan...

Until recently, 32 Middle Persian inscriptions documenting the construction of Derbent defensive complex and dating from very end 560s. AD were known. Now has been replenished with two more - No. 33 34, opened by authors in 2016 2021, respectively. Inscription is located between towers 18 19 northern city wall central part curtain, at a height 1.5 m. It poor preservation. But, nevertheless, its...

Hydrological modelling depends highly on the accuracy and uncertainty of model input parameters such as soil properties. Since most of these data are field surveyed, geostatistical techniques such as kriging, classification and regression trees or more sophisticated soil-landscape models need to be applied to interpolate point information to the area. Most of the existing interpolation techniqu...