$ALGB algebra

Latest papers

1. Post-Newtonian theory in de Sitter and anti-de Sitter spacetimes hep-th · 14 Oct · 3 hits

   …obtain the corresponding 2PN Hamiltonian and conserved charges in phase space. We show that the conformal algebra, corresponding to the isometry algebra of the (A)dS background, is realised in phase space as a…

2. Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory math.NT · 14 Oct · 2 hits

   …we prove that the $\Psi=1$ eigenspace is coadmissible of the expected rank over the algebra of analytic distributions and establish a comparison result between its Lie-algebra coinvariants and…

3. Relative entropy in quantum field theory: the case of squeezed fermions math-ph · 14 Oct · 1 hit

   We review the role of relative entropy in quantum field theories, where the local von Neumann algebras are generically of type III. Consequently, only few exact results are known, and even bounds are…

4. Cwikel estimates and Weyl's laws for $L\log L$ potentials on quantum tori math.OA · 14 Oct · 2 hits

   …ingredient is an abstract weak Hilbert--Schmidt estimate for multiplication operators in finite von Neumann algebras whose \(L_2\)-spaces admit orthonormal bases of unitaries. When $\theta=0$, our argument also gives…

5. Degeneracy graph determinants and higher-dimensional Young diagrams hep-th · 14 Oct · 1 hit

   Kemp and Ramgoolam proposed a basis of monomials for a commutative semisimple algebra with generators \(C_1,\ldots, C_L\), constructed from a degeneracy graph which records how the…

6. Equational theories of flat semirings $S(W)$ math.GR · 14 Oct · 1 hit

   …deleting its first and last letters. This completely resolves an open problem raised by Jackson et al.~(J. Algebra 611: 211--245, 2022).

7. The finite basis problem and subvariety intervals for max-plus matrix semirings math.GR · 14 Oct · 1 hit

   Let $S=(\N,\max,+)$ be the max-plus algebra of the nonnegative integers, and let $\overline S$ be obtained from $S$ by adjoining $-\infty$ as a…

8. The parity module of a matroid math.CO · 14 Oct · 1 hit

   …of the Beilinson-Bernstein-Deligne-Gabber decomposition theorem: Every pure module over the graded M\"obius algebra decomposes as a direct sum of shifts of the parity modules of matroids obtained by restricting to…