Triangular decomposition of right coideal subalgebras

Let $\mathfrak g$ be a Kac-Moody algebra. We show that every homogeneous right coideal subalgebra $U$ of the multiparameter version of the quantized universal enveloping algebra $U_q(\mathfrak{g}),$ $q^m\neq 1$ containing all group-like elements has a triangular decomposition $U=U^-\otimes_{{\bf k}[F]} {\bf k}[H] \otimes_{{\bf k}[G]} U^+$, where $U^-$ and $U^+$ are right coideal subalgebras of negative and positive quantum Borel subalgebras. However if $U_1$ and $U_2$ are arbitrary right coideal subalgebras of respectively positive and negative quantum Borel subalgebras, then the triangular composition $U_2\otimes_{{\bf k}[F]} {\bf k}[H]\otimes_{{\bf k}[G]} U_1$ is a right coideal but not necessary a subalgebra. Using a recent combinatorial classification of right coideal subalgebras of the quantum Borel algebra $U_q^+(\mathfrak{so}_{2n+1}),$ we find a necessary condition for the triangular composition to be a right coideal subalgebra of $U_q(\mathfrak{so}_{2n+1}).$ If $q$ has a finite multiplicative order $t>4,$ similar results remain valid for homogeneous right coideal subalgebras of the multiparameter version of the small Lusztig quantum groups $u_q({\frak g}),$ $u_q(\frak{so}_{2n+1}).

NEUTROPHIL LEUKOCYTE REACTION IN THE COURSE OF DIFFUSE PURULENT PERITONITIS DEVELOPMENT

Peritoneum biopsies from patients with various stages of peritonitis were studied electron microscopically. As distinct from the widespread opinion of a significant phagocytic activity of neutrophil leucocytes in early peritonitis this activity was not found. The authors consider this as a cause of peritonitis progression and fatality of the disease in the absence of surgical treatment. Phagocytic activity is restored after the elimination of the causative factors, i. e. after the sanative operation

NEUTROPHIL LEUKOCYTE REACTION IN THE COURSE OF DIFFUSE PURULENT PERITONITIS DEVELOPMENT

Peritoneum biopsies from patients with various stages of peritonitis were studied electron microscopically. As distinct from the widespread opinion of a significant phagocytic activity of neutrophil leucocytes in early peritonitis this activity was not found. The authors consider this as a cause of peritonitis progression and fatality of the disease in the absence of surgical treatment. Phagocytic activity is restored after the elimination of the causative factors, i. e. after the sanative operation