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Essential dimension
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21	ESSENTIAL DIMENSION OF SEPARABLE ALGEBRAS EMBEDDING IN A FIXED CENTRAL SIMPLE ALGEBRA ¨ ROLAND LOTSCHER Abstract. One of the key problems in non-commutative algebra is the classification of central simple algebras and m Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-03-10 10:13:22 Algebras Linear algebra Vectors Representation theory Brauer group Separable algebra Vector space Separable extension Dimension Abstract algebra Mathematics Ring theory
22	ESSENTIAL DIMENSION AND LINEAR CODES SHANE CERNELE Abstract. One of the central open problems in the theory of essential dimension is to compute the essential dimension of PGLn , whose torsors correspond to central simpl Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-06-11 17:58:30 Geometric group theory Geometric topology
23	ESSENTIAL DIMENSION AND CANONICAL DIMENSION OF GERBES BANDED BY GROUPS OF MULTIPLICATIVE TYPE ¨ ROLAND LOTSCHER Abstract. We prove the formula ed(X ) = cdim(X ) + ed(A) for any gerbe X banded by an algebraic group A whi Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2013-10-10 14:51:53 Algebraic structures Commutative algebra Algebraic topology Essential dimension Separable extension Valuation ring Algebraic torus Field Algebraic space Abstract algebra Algebra Field theory
24	THE LIE ALGEBRA OF TYPE G2 IS RATIONAL OVER ITS QUOTIENT BY THE ADJOINT ACTION DAVE ANDERSON, MATHIEU FLORENCE, AND ZINOVY REICHSTEIN Abstract. Let G be a split simple group of type G2 over a field k, and let g be its Li Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2013-08-27 14:40:38 Group theory Group actions Field theory Fiber bundles Essential dimension Principal homogeneous space Connection Rational mapping Field Abstract algebra Algebra Algebraic structures
25	A NUMERICAL INVARIANT FOR LINEAR REPRESENTATIONS OF FINITE GROUPS NIKITA A. KARPENKO AND ZINOVY REICHSTEIN Abstract. We study the notion of essential dimension for a linear representation of a finite group. In characteri Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-06-19 17:33:41 Representation theory of finite groups Character theory Essential dimension Representation theory Field extension Group ring Modular representation theory Representation theory of Lie groups Zonal spherical function Abstract algebra Algebra Harmonic analysis
26	prize-2012cole.indd Add to Reading List Source URL: www.ams.org Language: English - Date: 2012-03-12 11:00:52 Algebraic structures Cole Prize Andrei Suslin Number theorists Essential dimension Algebraic K-theory John R. Stallings En Leonard Eugene Dickson Mathematics Algebra Alexander Merkurjev

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