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Algebra over a field
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151	1 Linear Transformations We will study mainly finite-dimensional vector spaces over an arbitrary field F —i.e. vector spaces with a basis. (Recall that the dimension of a vector Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2002-02-04 23:47:22 Linear map Kernel Vector space Dimension theorem for vector spaces Theorems and definitions in linear algebra Rank–nullity theorem Algebra Mathematics Linear algebra
152	Contents[removed]January 1, 2, 3: More on p-groups. January 12: K-groups for a curve over a finite field. January 15: Cohomology of GLn (Λ) where Λ is a discrete valuation ring with [Λ : Zp ] < ∞. January 17: Sp Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:26:15 K-theory Sheaf Cohomology Characteristic class Étale cohomology Principal bundle Homology theory Ample line bundle Chern class Abstract algebra Topology Algebraic topology
153	ENDOSCOPIC L-FUNCTIONS AND A COMBINATORIAL IDENTITY James Arthur* 1. Introduction. In this paper we shall prove a combinatorial identity for certain functions attached to reductive algebraic groups over number fields. Th Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:11 Mathematics Meromorphic functions Symbol Analytic number theory Algebraic number field Valuation Residue Modular form Abstract algebra Mathematical analysis Field theory
154	COMPUTING DISCRETE LOGARITHMS IN F36·137 AND F36·163 USING MAGMA GORA ADJ, ALFRED MENEZES, THOMAZ OLIVEIRA, AND FRANCISCO RODR´IGUEZ-HENR´IQUEZ Abstract. We show that a Magma implementation of Joux’s new L[1/4] alg Add to Reading List Source URL: cacr.uwaterloo.ca Language: English - Date: 2014-02-26 21:38:13 Finite fields Logarithms Cryptography Group theory Polynomials Euclidean algorithm Discrete logarithm Factorization of polynomials over a finite field and irreducibility tests Cantor–Zassenhaus algorithm Abstract algebra Mathematics Algebra
155	DEDEKIND ZETA MOTIVES FOR TOTALLY REAL NUMBER FIELDS FRANCIS C.S. BROWN Abstract. Let k be a totally real number field. For every odd n ≥ 3, we construct an element in the category MT(k) of mixed Tate motives over k Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:24 Algebraic geometry Quadratic forms Geometric group theory Algebraic number theory Hyperbolic geometry Hyperbolic space Dedekind zeta function Motive Building Abstract algebra Algebra Mathematics
156	Starting Fall 2014 Sonoma State University Department of Mathematics and Statistics Updated Add to Reading List Source URL: www.sonoma.edu Language: English - Date: 2014-11-10 14:51:19 Operator theory Integral Fourier analysis Integral transforms Closed operator Functional analysis Calculus Factorization of polynomials over a finite field and irreducibility tests Area Mathematical analysis Mathematics Algebra
157	Sage Reference Manual: Algebras Release 6.3 The Sage Development Team August 11, 2014 Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:23 Algebra over a field Matrix Unital algebra Von Neumann algebra Algebraic structures C*-algebra Division algebra Abstract algebra Algebras Ring theory
158	Multiplying Larger Polynomials To multiply larger polynomials, we first need to look at exactly what the FOIL method does. It takes the two first terms and multiplies them, then takes the two outside terms and multiplies Add to Reading List Source URL: math.about.com Language: English - Date: 2014-03-04 17:35:34 Polynomial FOIL method Multiplication Classical orthogonal polynomials Algebra over a field Mathematics Algebra Abstract algebra
159	On the Lower Central Series of PI-Algebras Rumen Dangovski Sofia High School of Mathematics, Sofia, Bulgaria under the direction of Mr. Nathan Harman Massachusetts Institute of Technology Add to Reading List Source URL: www.cee.org Language: English - Date: 2014-04-14 12:58:13 Algebras Algebraic structures Mathematical structures Representation theory Associative algebra Polynomial Ring theory Algebra over a field Tensor product of algebras Abstract algebra Algebra Mathematics
160	PERFORMANCE INCREASING APPROACHES FOR BINARY FILD INVERSION Vladislav Kovtun Maria Bulakh Chair of Information Security Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-07-18 17:01:11 Polynomials Field theory Coding theory Euclidean algorithm Finite field Degree of a polynomial Error detection and correction Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Algebra Mathematics

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