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4 papers
The moduli space of 3-dimensional associative algebras
Alice Fialowski, Michael Penkava
In this paper, we give a classification of the 3-dimensional associative algebras over the complex numbers, including a construction of the moduli space, using versal deformations…
Subspaces of L_p, p>2, with unconditional basis have equivalent partition and weight norms
Dale Alspach, Simei Tong
In this note we give a simple proof that every subspace of L_p, 2<p<infinity, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently…
Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
Alice Fialowski, Michael Penkava
We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to -dimensional -graded Lie algebras.…
Complemented Subspaces of L_p Determined by Partitions and Weights
Dale Alspach, Simei Tong
Many of the known complemented subspaces of L_p have realizations as sequence spaces. In this paper a systematic approach to defining these spaces which uses partitions and weights…