Cosmogonic Fragment of Alcman (Oxyrhynchus Papyri XXIV)

この論文は国立情報学研究所の学術雑誌公開支援事業により電子化されました

Los movimientos campesinos en el México Colonial: estudio comparativo de su interpretación por historiadores norteamericanos

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Quantum energy flow, dissipation and decoherence in mesoscopic dielectric structures

We first present a summary of recent results concerning the phononic energy transport properties of mesoscopic, suspended dielectric wires. We then discuss some related open problems concerning the fundamental lower limits on the vibrational damping rates of submicron-sized cantilever structures and also the possibility to create and detect quantum superpositions of spatially separated states for such structures.Comment: To appear in Physica B, Proceedings of the 9th International Conference on Phonon Scattering (Phonons 98

Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3

We compute the graded polynomial identities and its graded codimension sequence for the elementary gradings of the Lie algebra of upper triangular matrices of order 3

Universal enveloping of a graded Lie algebra

In this paper we construct a graded universal enveloping algebra of a $G$-graded Lie algebra, where $G$ is not necessarily an abelian group. If the grading group is abelian, then it coincides with the classical construction. We prove the existence and uniqueness of the graded enveloping algebra. As consequences, we prove a graded variant of Witt's Theorem on the universal enveloping algebra of the free Lie algebra, and the graded version of Ado's Theorem, which states that every finite-dimensional Lie algebra admits a faithful finite dimensional representation. Furthermore we investigate if a Lie grading is equivalent to an abelian grading