Fred Goodman

Email: goodman at math dot uiowa dot edu Paper Mail: Fred Goodman Department of Mathematics MLH The University of Iowa Iowa City, IA 52242-1419 USA Phone: Voice: 319-335-0791 Fax: 319-335-0627 Office: 325G Maclean Hall

banff pictures 2006 (web page)

Course information:

Courses from previous semesters: Click Here.

Recent papers:

F.M. Goodman, Cellularity of Cyclotomic Birman--Wenzl--Murakami algebras, preprint 2007, math archive arXiv:0801.0306

F.M. Goodman and Holly Hauschild Mosley, Cyclotomic Birman-Wenzl-Murakami algebras I: Freeness
and realization as tangle algebras, preprint (2007, REVISED) math archive math.QA/0612064

F.M. Goodman and Holly Hauschild Mosley, Cyclotomic Birman-Wenzl-Murakami algebras II: Admissibility relations and representation theory, preprint (2007, REVISED), math archive math.QA/0612065

F. M. Goodman and H. Hauschild, Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus, Fundamenta Mathematicae, 190 (2006), 77-137; preprint version, math archive math.QA/0411155

F. M. Goodman , Zn--graded independence, Indiana University Mathematics Journal,
53 (2004), 515-532, preprint version, math archive, math.OA/0206296

Philippe Biane, F. M. Goodman, and Alexandru Nica, Non-crossing cumulants of type B, Trans. Am. Math. Soc., 355 (2003), 2263-2303. preprint version math archive math.OA/0206167.

F. M. Goodman and Hans Wenzl, Ideals in the Temperley-Lieb Category, an appendix to Michael Freedman, A magnetic model with a possible Chern-Simons phase, Comm. Math. Phys., 234 (2003) pp 129-183; preprint version at math.QA/0206301.

F. M. Goodman and Hans Wenzl, A path algorithm for affine Kazhdan-Lusztig polynomials, Math. Z. 237 (2001), no. 2, 235--249. Preprint version at math.RT/0011245

F. M. Goodman and Hans Wenzl, Crystal bases of quantum affine algebras and affine Kazhdan-Lusztig polynomials. Internat. Math. Res. Notices 1999, no. 5, 251--275. Preprint version at math.QA/9807014

F. M. Goodman and Hans Wenzl, Hans Iwahori-Hecke algebras of type $A$ at roots of unity. J. Algebra 215 (1999), no. 2, 694--734. Preprint version at q-alg/9610033

Goodman, Frederick M.; Kerov, Sergei V, The Martin boundary of the Young-Fibonacci lattice. J. Algebraic Combin. 11 (2000), no. 1, 17--48. Preprint version at math.CO/9712266

Publication List:

Lecture Notes:

Notes from lectures in mathematical physics seminar, fall 1998, on "Fock space and Kazhdan-Lusztig polynomials."