Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus

Frederick M. Goodman, and Holly Hauschild. "Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus." Fundamenta Mathematicae 190.1 (2006): 77-137. <http://eudml.org/doc/282766>.

@article{FrederickM2006,
abstract = {The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.},
author = {Frederick M. Goodman, Holly Hauschild},
journal = {Fundamenta Mathematicae},
keywords = {affine Birman-Wenzl-Murakami algebras; affine Kauffman tangle algebras},
language = {eng},
number = {1},
pages = {77-137},
title = {Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus},
url = {http://eudml.org/doc/282766},
volume = {190},
year = {2006},
}

TY - JOUR
AU - Frederick M. Goodman
AU - Holly Hauschild
TI - Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus
JO - Fundamenta Mathematicae
PY - 2006
VL - 190
IS - 1
SP - 77
EP - 137
AB - The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.
LA - eng
KW - affine Birman-Wenzl-Murakami algebras; affine Kauffman tangle algebras
UR - http://eudml.org/doc/282766
ER -