Roland Lötscher

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All published works

Action	Title	Year	Authors
+	The slice method for G-torsors	2017	Roland Lötscher Mark L. MacDonald
+ PDF Chat	Essential dimension and canonical dimension of gerbes banded by groups of multiplicative type	2015	Roland Lötscher
+	Essential dimension of separable algebras embedding in a fixed central simple algebra	2015	Roland Lötscher
+ PDF Chat	Essential<i>p</i>-dimension of algebraic groups whose connected component is a torus	2013	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein
+	Algebra & Number Theory	2013	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein
+ PDF Chat	A fiber dimension theorem for essential and canonical dimension	2012	Roland Lötscher
+ PDF Chat	Essential dimension of involutions and subalgebras	2012	Roland Lötscher
+ PDF Chat	Essential dimension of algebraic tori	2012	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein
+	Essential p-dimension of algebraic groups whose connected component is a torus	2012	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein
+	Essential p-dimension of algebraic groups whose connected component is a torus	2012	Roland Lötscher Mark MacDonald Aurel Meyer Zinovy Reichstein
+ PDF Chat	Application of multihomogeneous covariants to the essential dimension of finite groups	2010	Roland Lötscher
+	Contributions to the essential dimension of finite and algebraic groups	2010	Roland Lötscher
+ PDF Chat	Compression of finite group actions and covariant dimension, II	2009	Hanspeter Kraft Roland Lötscher Gerald W. Schwarz
+	Essential p-dimension of algebraic tori	2009	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein
+	Quadratic and Symmetric Bilinear Compositions of Quadratic Forms Over Commutative Rings	2008	Roland Lötscher
+	A Generalized Composition of Quadratic Forms based on Quadratic Pairs	2008	Roland Lötscher
+	Application of Multihomogeneous Covariants to the Essential Dimension of Finite Groups	2008	Roland Lötscher
+	Compression of Finite Group Actions and Covariant Dimension, II	2008	Hanspeter Kraft Roland Lötscher Gerald W. Schwarz

Common Coauthors

Coauthor	Papers Together
Mark L. MacDonald	6
Aurel Meyer	6
Zinovy Reichstein	6
Gerald W. Schwarz	2
Hanspeter Kraft	2
Mark MacDonald	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the notion of essential dimension for algebraic groups	2000	Zinovy Reichstein	8
+ PDF Chat	Essential dimension: A functorial point of view (after A. Merkurjev)	2003	Grégory Berhuy Giordano Favi	7
+ PDF Chat	Essential dimension of finite p-groups	2008	Nikita A. Karpenko Alexander Merkurjev	7
+ PDF Chat	None	1997	Joe Buhler Zinovy Reichstein	6
+ PDF Chat	On the essential dimension of cyclic p-groups	2007	Mathieu Florence	5
+	Linear algebraic groups	1966	Armand Borel	5
+ PDF Chat	The essential dimension of the normalizer of a maximal torus in the projective linear group	2009	Aurel Meyer Zinovy Reichstein	5
+ PDF Chat	A lower bound on the essential dimension of a connected linear group	2009	Philippe Gille Zinovy Reichstein	5
+ PDF Chat	Essential dimension of algebraic tori	2012	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein	4
+	Resolving G -torsors by abelian base extensions	2005	Vladimir Chernousov Philippe Gille Zinovy Reichstein	4
+ PDF Chat	A lower bound on the essential dimension of simple algebras	2010	Alexander Merkurjev	4
+	Multiplicative Invariant Theory	2005	Martin Lorenz	3
+	Quadratic Forms—Algebra, Arithmetic, and Geometry	2009	Ricardo Baeza Wai Kiu Chan Detlev W. Hoffmann Rainer Schulze‐Pillot	3
+	Decomposable extensions of affine groups	1980	Hans‐Jürgen Schneider	3
+ PDF Chat	Essential dimension of moduli of curves and other algebraic stacks	2011	Patrick Brosnan Zinovy Reichstein Angelo Vistoli	3
+	Contributions to the essential dimension of finite and algebraic groups	2010	Roland Lötscher	3
+	Théorèmes de finitude en cohomologie galoisienne	1964	Armand Borel Jean-Pierre Serre	3
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen	3
+ PDF Chat	Complete reducibility of rational representations of a matric group	1961	Masayoshi Nagata	3
+	Canonical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-dimension of algebraic groups	2005	Nikita A. Karpenko Alexander Merkurjev	3
+	The Book of Involutions	1998	Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol	3
+	ON ANISOTROPY OF ORTHOGONAL INVOLUTIONS	2016	Nikita A. Karpenko Nikita A. Karpenko	2
+	Introduction to Affine Group Schemes	1979	William C. Waterhouse	2
+ PDF Chat	On the notion of canonical dimension for algebraic groups	2005	Grégory Berhuy Zinovy Reichstein	2
+ PDF Chat	An upper bound on the essential dimension of a central simple algebra	2009	Aurel Meyer Zinovy Reichstein	2
+	RATIONALITY OF THE ORBIT SPACES OF IRREDUCIBLE REPRESENTATIONS OF THE GROUP SL<sub>2</sub>	1984	P. I. Katsylo	2
+	Principal homogeneous spaces under flasque tori: Applications	1987	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc	2
+ PDF Chat	Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties	2011	Nikita A. Karpenko	2
+	Cohomologie non abélienne	1971	Jean Giraud	2
+ PDF Chat	Compression of finite group actions and covariant dimension	2007	Hanspeter Kraft Gerald W. Schwarz	2
+	Representations of Cyclic Groups in Rings of Integers, II	1963	Aaron S. Heller Irving Reiner	2
+	Algebraic Groups and Their Birational Invariants	2011	V E Voskresenskiĭ	2
+ PDF Chat	On the essential dimension of infinitesimal group schemes	2013	Dajano Tossici Angelo Vistoli	2
+ PDF Chat	Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties	2000	Zinovy Reichstein Boris Youssin	2
+	Lattices and Parameter Reduction in Division Algebras	2000	Martin Lorenz Zinovy Reichstein	2
+	Finite groups of essential dimension one	2007	Arne Ledet	2
+ PDF Chat	Essential<i>p</i>-dimension of algebraic groups whose connected component is a torus	2013	Roland Lötscher Mark L. MacDonald Aurel Meyer Zinovy Reichstein	2
+	Ein Sylowsatz f�r endlichep-Untergruppen von GL (n, ?)	1978	Hilde Abold Wilhelm Plesken	2
+	Restriktion und Corestriktion für algebraische Gruppen	1981	Hans‐Jürgen Schneider	2
+	Endliche Gruppen mit treuen absolut‐irreduziblen Darstellungen	1954	Wolfgang Gaschütz	2
+ PDF Chat	Essential dimension of involutions and subalgebras	2012	Roland Lötscher	2
+	Composition of quadratic forms and the Hurwitz–Radon function in characteristic 2	2002	Alberto Elduque	2
+	Cohomological invariants: exceptional groups and spin groups	2009	Skip Garibaldi	2
+	Finite Flat Group Schemes	1997	John Tate	2
+ PDF Chat	Compression of finite group actions and covariant dimension, II	2009	Hanspeter Kraft Roland Lötscher Gerald W. Schwarz	2
+ PDF Chat	Essential dimension of central simple algebras	2012	Sanghoon Baek Alexander Merkurjev	2
+	Lower bounds for essential dimensions via orthogonal representations	2005	Vladimir Chernousov Jean-Pierre Serre	2
+	Essential 𝑝-dimension of 𝐏𝐆𝐋(𝐩²)	2010	Alexander Merkurjev	1
+ PDF Chat	Reduction of structure for torsors over semilocal rings	2008	Vladimir Chernousov Philippe Gille Zinovy Reichstein	1
+ PDF Chat	Geometrische Methoden in der Invariantentheorie	1984	Hanspeter Kraft	1