Glycyrrhizin (GL) is a widely used food additive which can cause severe pseudoaldosteronism at high doses or after a long period of consumption. The aim of the present study was to develop a physiologically based pharmacokinetic (PBPK) pharmacodynamic (PD) model for GL-induced pseudoaldosteronism to improve the safe use of GL. Since the major metabolite of GL, glycyrrhetic acid (GA), is largely...

Abstract We show that the Kazhdan–Lusztig category $KL_k$ of level-$k$ finite-length modules with highest-weight composition factors for affine Lie superalgebra $\widehat{\mathfrak{gl}(1|1)}$ has vertex algebraic braided tensor supercategory structure and its full subcategory $\mathcal{O}_k^{fin}$ objects semisimple Cartan subalgebra actions is a subcategory. every simple $\widehat{\mathfrak{gl...

We introduce a tensor decomposition of the $$\ell $$ -adic Tate module an abelian variety $$A_0$$ defined over number field which is geometrically isotypic. If potentially $$\mathrm {GL}_2$$ -type and totally real field, we use this to describe its Sato–Tate group prove conjecture in certain cases.

We show that $\bigoplus _{n \ge 0} \mathrm {H}^t(\mathbf {GL}_{n}(\mathbf {F}_q), \mathbf {F}_{\ell })$ canonically admits the structure of a module over $q$-divided power algebra (assuming $q$ is invertible in $\mathbf }$), and that, as such, it free (for $q \neq 2$) generated degrees $\le t$. As corollary, we cohomology finitely {VI}$-module non-describing characteristic eventually periodic $...

This note describes some computational results that were obtained while studying the associated group of automorphisms Aut(H), [2]. Specifically, we give an explicit description of a splitting of this group as an extension of GL(2,Z) by Z. That such a splitting exists could, in principle, be shown by computing a 2-cocycle for the extension and showing that it represents 0 in the cohomology grou...

We define a bijection from Littlewood–Richardson tableaux to rigged configurations and show that it preserves the appropriate statistics. This proves in particular a quasi-particle expression for the generalized Kostka polynomials KλR(q) labeled by a partition λ and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible GL(n,C)-module...

Recently, A.A. Kirillov introduced an interesting class of associative algebras connected with the adjoint representation of G [Ki]. In our paper, such algebras are called g-endomorphism algebras. Each g-endomorphism algebra is a module over the algebra of invariants k[g]; furthermore, it is a direct sum of modules of covariants. Hence it is a free graded finitely generated module over k[g]. Th...