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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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1122 · Jun 202219922001200920172026
4 results for “JB-algebra”
On the structure group of an infinite dimensional JB-algebramath.FA

Study extends JB-algebra structure group results to infinite dimensions.

problem Extend results for real Jordan algebras to infinite dimensional JB-algebras.
method Prove structure groups, cone preserving groups, and automorphism groups are embedded Banach-Lie groups; describe components via cones, isotopes, and central projections; apply to special JB-algebra of self-adjoint operators.
result Full description of components of structure group and automorphism group, including their Banach-Lie algebras and connected components.
JB-algebrastructure groupinfinite dimensionsautomorphism groupBanach-Lie groups
2022-06-10abs ↗pdf ↗
Connections and Finsler geometry of the structure group of a JB-algebramath.DG

The paper studies connections and Finsler geometry on JB-algebra structure groups.

problem Investigating geometric structures on JB-algebra structure groups.
method Endowing the structure group with a connection and Finsler metric, computing quantities, and proving minimality of paths.
result Established the Finsler metric and distance on the cone of a JB-algebra.
JB-algebrastructure groupFinsler geometryconnectionminimality
2022-06-18abs ↗pdf ↗
Siegel domains over Finsler symmetric conesmath.DG

Bounded symmetric domains are biholomorphic to tube domains over Finsler symmetric cones.

problem Characterizing biholomorphic mappings between tube domains and bounded symmetric domains.
method Analyzing properties of Finsler symmetric cones and unital JB-algebras.
result Tube domains over Finsler symmetric cones are biholomorphic to bounded symmetric domains.
Finsler symmetric conestube domainsbounded symmetric domainsbiholomorphic mappingsJB-algebras
2020-06-11abs ↗pdf ↗
Horofunction compactifications of symmetric cones under Finsler distancesmath.MG

The paper studies horofunction compactifications of symmetric cones under Finsler distances.

problem Understanding horofunction compactifications of symmetric cones under Finsler distances.
method Establishing a correspondence between horofunction compactifications of symmetric cones and normed spaces, using Thompson and Hilbert distances.
result Explicit extensions of the exponential map and characterizations of horofunctions for Thompson and Hilbert distances.
horofunction compactificationssymmetric conesFinsler distancesThompson distanceHilbert distance
2021-11-24abs ↗pdf ↗