Notes on cases in Plymouth, Barnstable and Duke Counties, 1785

Includes notes on cases of property law, and assault and battery.

On the graded quantum Yang-Baxter and reflection equations

We clarify the extra signs appearing in the graded quantum Yang-Baxter reflection equations, when they are written in a matrix form. We find the boundary K-matrix for the Perk-Schultz six-vertex model, thus give a general solution to the graded reflection equation associated with it.

Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]

In this paper we investigate the construction of state models for link invariants using representations of the braid group obtained from various gauge choices for a solution of the trigonometric Yang-Baxter equation. Our results show that it is possible to obtain invariants of regular isotopy (as defined by Kauffman) which may not be ambient isotopic. We illustrate our results with explicit computations using solutions of the trigonometric Yang-Baxter equation associated with the one-parameter family of minimal typical representations of the quantum superalgebra U-q,[gl(2/1)]. We have implemented MATHEMATICA code to evaluate the invariants for all prime knots up to 10 crossings.

Receipt from T. Baxter

Receipt from T. Baxter regarding payment for strong wire work, May 4, 1876.

Descriptive analyses of piano works for the use of teachers, players, and music clubs by Edward Baxter Perry

UANL

Yang-Baxter deformations of Minkowski spacetime

We study Yang-Baxter deformations of 4D Minkowski spacetime. The Yang-Baxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation. It has been extended to coset curved spaces and models based on the usual classical Yang-Baxter equation. On the other hand, for flat space, there is the obvious problem that the standard bilinear form degenerates if we employ the familiar coset Poincaré group/Lorentz group. Instead we consider a slice of AdS5 by embedding the 4D Poincaré group into the 4D conformal group SO(2, 4) . With this procedure we obtain metrics and B-fields as Yang-Baxter deformations which correspond to well-known configurations such as T-duals of Melvin backgrounds, Hashimoto-Sethi and Spradlin-Takayanagi-Volovich backgrounds, the T-dual of Grant space, pp-waves, and T-duals of dS4 and AdS4. Finally we consider a deformation with a classical r-matrix of Drinfeld-Jimbo type and explicitly derive the associated metric and B-field which we conjecture to correspond to a new integrable system.

Richard Baxter Foster Letter to his wife September 29 1865

Letter from Richard Baxter Foster to his wife Lucy from Brownsville, Texas on September 29, 1865

Richard Baxter Foster Letter to his wife June 4 1865

Letter from Richard Baxter Foster to his wife Lucy from Brownsville, Texas on June 4 1865.

Richard Baxter Foster Letter to his wife Sept 3 1865

Letter from Richard Baxter Foster to his wife Lucy from Brownsville, Texas on Sept 3 1865.

Richard Baxter Foster Letter to his wife September 14 1863

Letter from Richard Baxter Foster to his wife Lucy from St. Louis on September 14, 1863.

Richard Baxter Foster Letter to his wife (October 4, 1865?)

Letter from Richard Baxter Foster to his wife Lucy one month after he submitted his request to be discharged from service.

Richard Baxter Foster Letter to his wife March 12 1865

Letter from Richard Baxter Foster to his wife Lucy from Brazos Santiago, Texas on March 12, 1865

Daniel Foster Letter to Richard Baxter Foster May 11, 1863

Daniel Foster's letter to his brother Richard Baxter Foster from Camp of the 33rd Miss. Vol. near Aquin Creek, Virginia on May 11, 1863.