𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Superalgebra of Dirac-type operators of the Euclidean Taub-NUT space

✍ Scribed by I.I. Cotăescu; M. Visinescu


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
154 KB
Volume
56
Category
Article
ISSN
0015-8208

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

The Dirac theory in the Euclidean Taub‐NUT space gives rise to a large collection of conserved operators associated to genuine or hidden symmetries. They are involved in interesting algebraic structures as dynamical algebras or even superalgebras. One presents the properties of the superalgebra of the Dirac‐type operators produced by covariantly constant Killing‐Yano tensors on the Euclidean Taub‐NUT space.


📜 SIMILAR VOLUMES


The Spectrum of the Dirac Operator on th
✍ Ulrich Bunke 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 475 KB 👁 1 views

We represent the real hyperbolic space H" as the rank one homogeneous space Spin (1, n)/ Spin (n) and the spinor bundle S of H as the homogeneous bundle Spin (1, n) x (",V, where V, is the spinor representation space of Spin (n). The representation theoretic decomposition of L2(H, S) combined with t

Some inequalities for the Euclidean oper
✍ Sever S. Dragomir 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 133 KB

Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh's recent results which provide sharp upper and lower bounds for the numerical radius of linear operators are also established.

Semi-bounded restrictions of Dirac type
✍ Christian Bär; Alexander Strohmaier 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 61 KB

Let M be a connected Riemannian manifold and let D be a Dirac type operator acting on smooth compactly supported sections in a Hermitian vector bundle over M. Suppose D has a self-adjoint extension A in the Hilbert space of square-integrable sections. We show that any L 2 -section ϕ contained in a c