Results 21 to 30 of about 4,423 (40)
Orthogonal involutions and totally singular quadratic forms in characteristic two [PDF]
arXiv, 2017 We associate to every central simple algebra with involution of orthogonal type in characteristic two a totally singular quadratic form which reflects certain anisotropy properties of the involution. It is shown that this quadratic form can be used to classify totally decomposable algebras with orthogonal involution.
arxiv
Finite basis problem for identities with involution [PDF]
arXiv, 2014 We consider associative algebras with involution over a field of characteristic zero. We proved that any algebra with involution satisfies the same identities with involution as the Grassmann envelope of some finite dimensional $Z_4$-graded algebra with graded involution.
arxiv
Involution and commutator length for complex hyperbolic isometries [PDF]
arXiv, 2016 We study decompositions of complex hyperbolic isometries as products of involutions. We show that PU(2,1) has involution length 4 and commutator length 1, and that for all $n \geqslant 3$ PU($n$,1) has involution length at most 8.
arxiv
Surface topology and involutive bimodules [PDF]
arXiv, 2013 We remark some basic facts on homological aspects of involutive Lie bialgebras and their involutive bimodules, and present some problems on surface topology related to these facts.
arxiv
A high-school algebra wallet-sized proof, of the Bieberbach conjecture After L. Weinstein] [PDF]
arXiv, 1993 Weinstein's[2] brilliant short proof of de Branges'[1] theorem can be made yet much shorter(modulo routine calculations), completely elementary (modulo L\"owner theory), self contained(no need for the esoteric Legendre polynomials' addition theorem), and motivated(ditto), as follows.
arxiv
Questions Concerning Schwarzschild's Solution of Einstein's Equations [PDF]
arXiv, 2005 Now that an English translation of Schwarzschild's original work exists, that work has become accessible to more people. Here his original solution to the Einstein field equations is examined and it is noted that it does not contain the mathematical singularity normally associated with the existence of a black hole. Einstein's own views on this subject
arxiv
Another epistemic culture : Reconstructing knowledge diffusion for rural development in Vietnam’s Mekong Delta [PDF]
In the age of “post-industrial society” and “knowledge economy,” how do agrarian communities in developing countries talk, think, and apply knowledge for their everyday life and production?
Nguyen, Quy-Hanh
core
Let's Take Esoteric Programming Languages Seriously [PDF]
arXivEsoteric programming languages are challenging to learn, but their unusual features and constraints may serve to improve programming ability. From languages designed to be intentionally obtuse (e.g. INTERCAL) to others targeting artistic expression (e.g. Piet) or exploring the nature of computation (e.g.
arxiv
Cohomology of Quantum Groups [PDF]
Karpacz Winter School Proceedings, Feb. 1994, 1995 Lecture notes. Introduction to the cohomology of algebras, Lie algebras, Lie bialgebras and quantum groups. Contains a new derivation of the classification of classical r-matrices in terms of deformation cohomology, and a calculation of the esoteric forms of quantum gl(N) by deformation theory.
arxiv
QCSP on partially reflexive cycles - the wavy line of tractability [PDF]
arXiv, 2013 We study the (non-uniform) quantified constraint satisfaction problem QCSP(H) as H ranges over partially reflexive cycles. We obtain a complexity-theoretic dichotomy: QCSP(H) is either in NL or is NP-hard. The separating conditions are somewhat esoteric hence the epithet "wavy line of tractability".
arxiv