1. Joint Center for Artificial Photosynthesis (JCAP), Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720 (USA). 2. National Center for Electron Microscopy, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720 (USA). 3. Haldor Topsøe A/S, Nymøllevej 55, DK-2800 Kgs. Lyngby, Denmark. 4. Physical Biosciences Division, Lawrence Berkeley National Labor...

The Lawrence representation Ln,m is a family of homological representation of the braid group Bn, which specializes to the reduced Burau and the Lawrence-Krammer representation when m is 1 and 2. In this article we show that the Lawrence representation is faithful for m ≥ 2.

The generic name Lycomimus (L. bejsaki Lawrence and Slipinski 2013, by original designation) was proposed by Lawrence and Slipinski (2013, p. 71) for a new coleopteran genus from northern New South Wales and southern Queensland, Australia. However, this name is already preoccupied by Lycomimus Melzer (1931, p. 11). To resolve homonomy, in accordance with the International Code of Zoological Nom...

A non-singular sesquilinear form is constructed that is preserved by the Lawrence-Krammer representation. It is shown that if the polynomial variables q and t of the Lawrence-Krammer representation are chosen to be appropriate algebraically independant unit complex numbers, then the form is negativedefinite Hermitian. Unitary matrices diagonalize, and it is shown that the eigenvalues of a Lawre...