Results 11 to 20 of about 557,632 (168)
SICs and Algebraic Number Theory [PDF]
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby+3 more
openalex +5 more sources
Theory of Cyclic Algebras Over An Algebraic Number Field [PDF]
I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
Helmut Hasse
openalex +3 more sources
The growth of the rank of Abelian varieties upon extensions [PDF]
Number theory, Algebra and ...
Bruin, P., Najman, F.
core +2 more sources
Unordered Tuples in Quantum Computation [PDF]
It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Furber, Robert, Westerbaan, Bas
core +4 more sources
Kac-Moody Extensions of 3-Algebras and M2-branes [PDF]
We study the 3-algebraic structure involved in the recently shown M2-branes worldvolume gauge theories. We first extend an arbitrary finite dimensional 3-algebra into an infinite dimensional 3-algebra by adding a mode number to each generator.
Lin, Hai
core +2 more sources
Why is Quantum Physics Based on Complex Numbers? [PDF]
The modern quantum theory is based on the assumption that quantum states are represented by elements of a complex Hilbert space. It is expected that in future quantum theory the number field will be not postulated but derived from more general principles.
Lev, Felix
core +3 more sources
The Largest Subsemilattices of the Endomorphism Monoid of an Independence Algebra [PDF]
An algebra $\A$ is said to be an independence algebra if it is a matroid algebra and every map $\al:X\to A$, defined on a basis $X$ of $\A$, can be extended to an endomorphism of $\A$.
Araújo, João+2 more
core +2 more sources
Algorithms in Algebraic Number Theory [PDF]
34 ...
openaire +3 more sources
Isomorphisms between the Batalin-Vilkovisky antibracket and the Poisson bracket [PDF]
One may introduce at least three different Lie algebras in any Lagrangian field theory : (i) the Lie algebra of local BRST cohomology classes equipped with the odd Batalin-Vilkovisky antibracket, which has attracted considerable interest recently~; (ii ...
Barnich, Glenn, Henneaux, Marc
core +3 more sources