20 citations · 51 across the 18 of their papers we have counts for
19 papers
A note on Iwasawa-type decomposition
Philip Foth
We study the Iwasawa-type decomposition of an open subset of SL(n,C) as SU(p,q)AN. We show that the dressing action of SU(p,q) is globally defined on the space of admissible elemen…
Standard Monomial Theory of RR varieties
Philip Foth, Sangjib Kim
We construct the RR varieties as the fiber products of Bott-Samelson varieties over Richardson varieties. We study their homogeneous coordinate rings and standard monomial theory.
The Poisson geometry of SU(1,1)
Philip Foth, McKenzie Lamb
We study the natural Poisson structure on the Lie group SU(1,1) and related questions. In particular, we give an explicit description of the Ginzburg-Weinstein isomorphism for the…
On sums of admissible coadjoint orbits
A. Eshmatov, P. Foth
Given a quasi-Hermitian semisimple Lie algebra, we describe possible spectra of the sum of two admissible elements from its dual vector space.
Row Convex Tableaux and Bott-Samelson Varieties
Philip Foth, Sangjib Kim
By using row convex tableaux, we study the section rings of Bott-Samelson varieties of type A. We obtain flat deformations and standard monomial type bases of the section rings. In…
Eigenvalues of sums of pseudo-Hermitian matrices
Philip Foth
We study analogues of classical inequalities for the eigenvalues of sums of pseudo-Hermitian matrices.