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6 papers · 1 filter
Dualities and vertex operator algebras of affine type
Julius Borcea
We notice that for any positive integer , the set of -specialized characters of level standard -modules is the same as the set of rescaled graded dimensi…
Splitting algebras, Symmetric functions and Galois Theory
Torsten Ekedahl, Dan Laksov
We present a theory for splitting algebras of monic polynomials over rings, and apply the results to symmetric functions, and Galois theory. Our main result is that the ring of inv…
Understanding SUSY limits from LEP
Anna Lipniacka
LEP results have constrained heavily the Minimal Supersymmetric Standard Model, while providing hints for light Higgs boson and for ``SUSY-assisted'' gauge couling unification. In…
Structure and Time-Evolution of an Internet Dating Community
Petter Holme, Christofer R. Edling, Fredrik Liljeros
We present statistics for the structure and time-evolution of a network constructed from user activity in an Internet community. The vastness and precise time resolution of an Inte…
On two conjectures concerning convex curves
V. Sedykh, B. Shapiro
We recall two basic conjectures on the developables of convex projective curves, prove one of them and disprove the other in the firdt nontrivial case of curves in RP^3. Namely, we…
On Integrability of Many-Body Problems with Point Interactions
S. Albeverio, S. M. Fei, P. Kurasov
A study of the integrability of one-dimensional quantum mechanical many-body systems with general point interactions and boundary conditions describing the interactions which can b…