Date: Tue, 5 Mar 2002 06:12:36 -0500 From: no-reply@arXiv.org (send mail ONLY to math) To: rabble@arXiv.org (math daily title/abstract distribution) Subject: math daily Subj-class mailing 40000 1 Message-Id: <200203051112.g25BCaj14182@xxx.arxiv.cornell.edu> MIME-Version: 1.0 ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ send mail only to math@arXiv.org, do not reply to no-reply@... send any complaints regarding submissions directly to submitter. use a single `get' to request multiple papers, `list macros' for available macro packages, and `help' for a list of available commands and other info. ------------------------------------------------------------------------------ see http://front.math.ucdavis.edu/ for a math specific front-end or point your www client at http://arXiv.org/ for the generic front-end. To unsubscribe, e-mail To: math@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ Submissions to: Quantum Algebra received from Fri 1 Mar 02 21:00:00 GMT to Mon 4 Mar 02 21:00:00 GMT ------------------------------------------------------------------------------ %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ Paper (*cross-listing*): math-ph/0203004 From: Mariano A del Olmo Date: Mon, 4 Mar 2002 11:44:11 GMT (12kb) Title: Dynamical Systems and Quantum Bicrossproduct Algebras Authors: Oscar Arratia and Mariano A. del Olmo Comments: LaTeX, 12 pages Subj-class: Mathematical Physics; Quantum Algebra MSC-class: 58F25; 70D99; 17B37 \\ We present a unified study of some aspects of quantum bicrossproduct algebras of inhomogeneous Lie algebras, like Poincare, Galilei and Euclidean in N dimensions. The action associated to the bicrossproduct structure allows to obtain a nonlinear action over a new group linked to the translations. This new nonlinear action associates a dynamical system to each generator which is the object of study in this paper. \\ ( http://arXiv.org/abs/math-ph/0203004 , 12kb) ------------------------------------------------------------------------------ \\ Paper: math.DS/0203018 From: Anatoly Vershik Date: Sat, 2 Mar 2002 17:48:45 GMT (9kb) Title: Graded Lie Algebras and dynamical systems Authors: A.Vershik (St.Petersburg Mathematical Institute of Russian Acad.) Comments: 10 pages, Latex Report-no: ESI-1086 Subj-class: Dynamical Systems; Quantum Algebra; Operator Algebras \\ The general class of the graded Lie algebras is defined. These algebras could be constructed using an arbitrary dynamical systems with discrete time and with invarinat measure. In this papers we consider the case of the central extension of Lie algebras which corresponds to the ordinary crossed product (as associative algebra) - series A. The structure of those Lie algebras is similar to Kac-Moody algebras, and these are a special case of so called algebras with continuous root system which were introduced by author with M.Saveliev in 90-th. The central extension open a new possibilty in algebraic theory of dynamical systems. The simpliest example corresponds to rotation of the circle (sine-algebra="quantum torus") and to adding of unity the additvie group of the p-adic integers. \\ ( http://arXiv.org/abs/math/0203018 , 9kb) ------------------------------------------------------------------------------ \\ Paper: math.GT/0203012 From: Stavros Garoufalidis Date: Fri, 1 Mar 2002 21:42:14 GMT (27kb) Title: Random walks and the colored Jones function Authors: Stavros Garoufalidis and Martin Loebl Comments: AMS-LaTeX, 13 pages with 12 figures Subj-class: Geometric Topology; Quantum Algebra \\ It can be conjectured that the colored Jones function of a knot can be computed in terms of counting paths on the graph of a planar projection of a knot. On the combinatorial level, the colored Jones function can be replaced by its weight system. We give two curious formulas for the weight system of a colored Jones function: one in terms of the permanent of a matrix associated to a chord diagram, and another in terms of counting paths of intersecting chords. \\ ( http://arXiv.org/abs/math/0203012 , 27kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ Paper: math.RT/0202079 replaced with revised version Sun, 3 Mar 2002 21:44:22 GMT (22kb) Title: On primitive ideals Author: Victor Ginzburg Comments: 17pp., LaTeX, minor corrections made Subj-class: Representation Theory; Rings and Algebras; Algebraic Geometry; Quantum Algebra \\ ( http://arXiv.org/abs/math/0202079 , 22kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For general information on the new math archive (partitioned by keyword subject classification), see http://arXiv.org/new/math.html For subscribe options to combined math archives, e-mail To: math@arXiv.org, Subject: subscribe