Futurism in the City of the Future: Marinetti’s Avant-Garde in New York 1909-1930

Senior Project submitted to The Division of Arts of Bard College. This project seeks to explain some of the reasons why it took four decades for Futurism to be recognized and understood in America. Using archival sources and other records from 1909 to 1930, this project charts the entrance of Futurist ideas into America and the reasons why the movement never found a following in the United States. Focusing on the years after the launch of the movement, the Armory Show of 1913, and the 1928-1930 stay of Fortunato Depero, this project argues that there were certain unbridgeable divides between Italian and American modernism that prevented Futurism from finding a foothold across the Atlantic

The action of a compact Lie group on nilpotent Lie algebras of type {{n,2}}

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The action of a compact Lie group on nilpotent Lie algebras of type {n,2}

Abstract We classify finite-dimensional real nilpotent Lie algebras with 2-dimensional central commutator ideals admitting a Lie group of automorphisms isomorphic to SO 2 ⁢ ( ℝ ) ${{\mathrm{SO}}_{2}(\mathbb{R})}$ . This is the first step to extend the class of nilpotent Lie algebras 𝔥 ${{\mathfrak{h}}}$ of type { n , 2 } ${\{n,2\}}$ to solvable Lie algebras in which 𝔥 ${{\mathfrak{h}}}$ has codimension one.</jats:p

Permutations of zero-sumsets in a finite vector space

In this paper, we consider a finite-dimensional vector space P over the Galois field GF(p), with p being an odd prime, and the family Bxk of all k-sets of elements of P summing up to a given element x. The main result of the paper is the characterization, for x=0, of the permutations of P inducing permutations of B0k as the invertible linear mappings of the vector space P if p does not divide k, and as the invertible affinities of the affine space P if p divides k. The same question is answered also in the case where the elements of the k-sets are required to be all nonzero, and, in fact, the two cases prove to be intrinsically inseparable