Transactions of the American Mathematical Society, Vol. 367, No. 5 (MAY 2015), pp. 3481-3508 (28 pages) In this paper we show that the fields of rational invariants over the irreducible components of ...

Entanglement is a resource that is utilized on quantum devices to cary information on quantum bits (qubits), and is what gives a quantum computer its theoretical advantage over its classical ...

A previous paper, 'Invariant theory, tensors and group characters', dealt with invariant theory under the full linear group. In this paper the methods are extended to restricted groups of ...

Set theory serves as a foundational pillar in mathematics, providing the language and tools necessary to discuss infinite collections. A central focus within this discipline is the study of cardinal ...

Considering the electromagnetic and scalar fields in gravity without Lorenz invariance (LI), a model of holographic superconductor is constructed in Horava-Lishitz gravity. The studies show that the ...

Quantum invariants have emerged as powerful algebraic and numerical tools that encapsulate the subtleties of topological structures. By drawing on quantum group theory and the constructs of ...