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Inverse Invariant Theory and Steenrod Operations
This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.
History of William Dietz, Sr., and His Descendants
William Dietz, Sr. (b.1754) immigrated from Germany to Philadelphia, later moving to Augusta County, Virginia, where he married Jane Wachub before 1798. Descendants and relatives lived in Virginia, West Virginia, Ohio, Tennessee, Arkansas and elsewhere.
Invariant Measures for Unitary Groups Associated to Kac-Moody Lie Algebras
The main purpose of this paper is to prove the existence, and in some cases the uniqueness, of unitarily invariant measures on formal completions of groups associated to affine Kac-Moody algebras, and associated homogeneous spaces. The basic invariant measure is a natural generalization of Haar measure for a simply connected compact Lie group, and its projection to flag spaces is a generalization of the normalized invariant volume element. The other "invariant measures" are actually measures having values in line bundles over these spaces; these bundle-valued measures heuristically arise from coupling the basic invariant measure to Hermitian structures on associated line bundles, but in this infinite dimensional setting they are generally singular with respect to the basic invariant measure.
A Genealogy and History of Descendants of Jacob Flora, Senior, of Franklin County, Virginia
Joseph J. Flory, the father of Jacob, came from the German Palatinate in 1733 and settled in Pennsylvania. Jacob was probably born in Maryland not later than 1760 and appears in Virginia by 1786. Joseph may have been French originally because he is noted as a Hugenot.
