Skip Garibaldi

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All published works
Action Title Year Authors
+ Albert Algebras over Commutative Rings 2024 Skip Garibaldi
Holger P. Petersson
Michel L. Racine
+ PDF Chat Solutions to the exercises from the book "Albert algebras over commutative rings" 2024 Skip Garibaldi
Holger P. Petersson
Michel L. Racine
+ PDF Chat Albert algebras over and other rings 2023 Skip Garibaldi
Holger P. Petersson
Michel L. Racine
+ Invariant derivations and trace bounds 2023 Skip Garibaldi
Robert M. Guralnick
Eric M. Rains
+ PDF Chat Generic Stabilizers for Simple Algebraic Groups 2022 Skip Garibaldi
Robert M. Guralnick
+ Albert algebras over Z and other rings 2022 Skip Garibaldi
Holger P. Petersson
Michel L. Racine
+ Pictures of compact Lie groups (after Serre) 2022 Skip Garibaldi
+ 1. How to Proceed in Mathematics by Skip Garibaldi and Daniel M. Gordon 2021 Skip Garibaldi
Daniel M. Gordon
+ PDF Chat A class of continuous non-associative algebras arising from algebraic groups including 2021 Maurice Chayet
Skip Garibaldi
+ Generic stabilizers for simple algebraic groups 2021 Skip Garibaldi
Robert M. Guralnick
+ PDF Chat Minuscule embeddings 2020 Benedict H. Gross
Skip Garibaldi
+ Minuscule embeddings 2020 Benedict H. Gross
Skip Garibaldi
+ PDF Chat GENERICALLY FREE REPRESENTATIONS III: EXTREMELY BAD CHARACTERISTIC 2020 Skip Garibaldi
Robert M. Guralnick
+ PDF Chat Generically free representations, I: large representations 2020 Skip Garibaldi
Robert M. Guralnick
+ PDF Chat GENERICALLY FREE REPRESENTATIONS II: IRREDUCIBLE REPRESENTATIONS 2020 Skip Garibaldi
Robert M. Guralnick
+ Generically free representations III: exceptionally bad characteristic 2018 Skip Garibaldi
Robert M. Guralnick
+ PDF Chat Globally Irreducible Weyl Modules for Quantum Groups 2018 Skip Garibaldi
Robert M. Guralnick
Daniel K. Nakano
+ PDF Chat Rost invariant of the center, revisited 2017 Skip Garibaldi
Alexander Merkurjev
+ The van den Berg–Kesten–Reimer operator and inequality for infinite spaces 2017 Richard Arratia
Skip Garibaldi
Alfred W. Hales
+ PDF Chat Spinors and essential dimension 2017 Skip Garibaldi
Robert M. Guralnick
+ PDF Chat Tits p‐indexes of semisimple algebraic groups 2017 Charles De Clercq
Skip Garibaldi
+ Globally irreducible Weyl modules 2017 Skip Garibaldi
Robert M. Guralnick
Daniel K. Nakano
+ PDF Chat $E_8$, the most exceptional group 2016 Skip Garibaldi
+ PDF Chat Essential dimension of algebraic groups, including bad characteristic 2016 Skip Garibaldi
Robert M. Guralnick
+ Irreducibility of Weyl Modules over Fields of Arbitrary Characteristic 2016 Skip Garibaldi
Robert M. Guralnick
Daniel K. Nakano
+ PDF Chat Outer automorphisms of algebraic groups and a Skolem-Noether theorem for Albert algebras 2016 Skip Garibaldi
Holger P. Petersson
+ PDF Chat Shells of twisted flag varieties and the Rost invariant 2015 Skip Garibaldi
V. A. Petrov
Nikita Semenov
+ PDF Chat Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups 2015 Skip Garibaldi
Daniel K. Nakano
+ PDF Chat Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process 2015 Richard Arratia
Skip Garibaldi
Joe Kilian
+ PDF Chat Some People Have All the Luck 2015 Richard Arratia
Skip Garibaldi
Lawrence Mower
Philip B. Stark
+ PDF Chat SIMPLE GROUPS STABILIZING POLYNOMIALS 2015 Skip Garibaldi
Robert M. Guralnick
+ Outer automorphisms of algebraic groups and a Skolem-Noether theorem for Albert algebras 2015 Skip Garibaldi
Holger P. Petersson
+ PDF Chat Linear preservers and representations with a 1-dimensional ring of invariants 2014 Hernando Bermudez
Skip Garibaldi
Victor Larsen
+ Simple algebraic groups are (usually) determined by an invariant 2013 Skip Garibaldi
Robert M. Guralnick
+ PDF Chat Weakly commensurable<i>S</i>-arithmetic subgroups in almost simple algebraic groups of types B and C 2013 Skip Garibaldi
Andrei S. Rapinchuk
+ PDF Chat The γ-filtration and the Rost invariant 2013 Skip Garibaldi
Kirill Zainoulline
+ Exceptional collections of line bundles on projective homogeneous varieties 2013 Alexey Ananyevskiy
Asher Auel
Skip Garibaldi
Kirill Zainoulline
+ Outer automorphisms of algebraic groups and determining groups by their maximal tori 2012 Skip Garibaldi
+ Did a 1-dimensional magnet detect a 248-dimensional Lie algebra? 2011 David Borthwick
Skip Garibaldi
+ PDF Chat Open problems on central simple algebras 2011 Asher Auel
Eric Brussel
Skip Garibaldi
Uzi Vishne
+ Did a 1-dimensional magnet detect a 248-dimensional Lie algebra? 2010 David Borthwick
Skip Garibaldi
+ Shells of twisted flag varieties and non-decomposibility of the Rost invariant 2010 Skip Garibaldi
V. A. Petrov
Nikita Semenov
+ Wild Pfister forms over Henselian fields, K-theory, and conic division algebras 2010 Skip Garibaldi
Holger P. Petersson
+ The gamma-filtration, codimension-3 cycles, and the Rost invariant 2010 Skip Garibaldi
Kirill Zainoulline
+ Weak commensurability and forms of Spin_4n 2010 Skip Garibaldi
+ The Rost invariant has zero kernel for quasi-split trialitarian groups 2010 Skip Garibaldi
+ PDF Chat Degree 5 Invariant of E8 2010 Skip Garibaldi
Nikita Semenov
+ PDF Chat There is No “Theory of Everything” Inside E8 2010 Jacques Distler
Skip Garibaldi
+ PDF Chat Quaternion Algebras with the Same Subfields 2010 Skip Garibaldi
David J. Saltman
+ The Rost invariant has zero kernel for quasi-split trialitarian groups 2010 Skip Garibaldi
+ Did a 1-dimensional magnet detect a 248-dimensional Lie algebra? 2010 David Borthwick
Skip Garibaldi
+ Quadratic Forms, Linear Algebraic Groups, and Cohomology 2010 Jean-Louis Colliot-Thélène
Skip Garibaldi
R. Sujatha
Venapally Suresh
+ PDF Chat Vanishing of trace forms in low characteristics 2009 Skip Garibaldi
+ PDF Chat Algebraic groups with few subgroups 2009 Skip Garibaldi
Philippe Gille
+ PDF Chat Discriminant of Symplectic Involutions 2009 Skip Garibaldi
R. Parimala
Jean-Pierre Tignol
+ Cohomological invariants: exceptional groups and spin groups 2009 Skip Garibaldi
+ Orthogonal involutions on algebras of degree 16 and the Killing form of 𝐸₈ 2009 Skip Garibaldi
+ PDF Chat Orthogonal representations of twisted forms of 𝑆𝐿₂ 2008 Skip Garibaldi
+ Pfister’s theorem for orthogonal involutions of degree 12 2008 Skip Garibaldi
Anne Quéguiner-Mathieu
+ PDF Chat Somewhat More than Governors Need to Know about Trigonometry 2008 Skip Garibaldi
+ PDF Chat Restricting the Rost invariant to the center 2008 Skip Garibaldi
Anne Quéguiner-Mathieu
+ E8 has no quotient trace form in characteristic 5 2007 Skip Garibaldi
+ Vanishing of trace forms in low characteristics 2007 Skip Garibaldi
Alexander Premet
+ PDF Chat Pfister's Theorem for orthogonal involutions of degree $12$ 2007 Skip Garibaldi
Anne Quéguiner-Mathieu
+ PDF Chat Groups of outer type E6 with trivial Tits algebras 2007 Skip Garibaldi
Holger P. Petersson
+ A1-invariant quadratic forms 2007 Skip Garibaldi
+ PDF Chat Kneser–Tits for a rank 1 form of $E_6$ (after Veldkamp) 2007 Skip Garibaldi
+ Orthogonal involution on algebras of degree 16 and the Killing form of E8 2007 Skip Garibaldi
+ Vanishing of trace forms in low characteristics 2007 Skip Garibaldi
Alexander Premet
+ PDF Chat Restricting the Rost Invariant to the Center 2007 Skip Garibaldi
Anne Quéguiner-Mathieu
+ PDF Chat TOTARO'S QUESTION ON ZERO-CYCLES ON $G_2$, $F_4$ AND $E_6$ TORSORS 2006 Skip Garibaldi
Detlev W. Hoffmann
+ Geometries, the principle of duality, and algebraic groups 2005 Skip Garibaldi
Michael Carr
+ PDF Chat Unramified cohomology of classifying varieties for exceptional simply connected groups 2005 Skip Garibaldi
+ EXPOSITIONS IN ALGEBRA The classification of exceptional Lie algebras 2005 Skip Garibaldi
+ PDF Chat The Characteristic Polynomial and Determinant Are Not Ad Hoc Constructions 2004 Skip Garibaldi
+ PDF Chat The Characteristic Polynomial and Determinant Are Not Ad Hoc Constructions 2004 Skip Garibaldi
+ Erratum: ??Trialitarian groups and the Hasse principle??, Manuscripta Math. 98 (1999), no. 1, 97?113. 2004 Skip Garibaldi
+ PDF Chat Cohomological Invariants in Galois Cohomology 2003 Skip Garibaldi
Alexander Merkurjev
Jean Pierre Serre
+ The trace form in dimension \le7 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ Rost invariants of simply connected algebraic groups 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ Specialization properties of cohomological invariants 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ Cohomological preliminaries: The local case 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ Cohomological invariants of étale algebras 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ Cohomological preliminaries: The function field case 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ The groups 𝐻^{𝑑+1}(𝐹,ℚ/ℤ(𝕕)) 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ Cohomological invariants of O_{𝑛}, SO_{𝑛},… 2003 Skip Garibaldi
Alexander Merkurjev
Jean-Pierre Serre
+ An invariant of simple algebraic groups 2002 Skip Garibaldi
+ An invariant of simple algebraic groups 2002 Skip Garibaldi
+ The characteristic polynomial and determinant are not ad hoc constructions 2002 Skip Garibaldi
+ PDF Chat The Rost invariant has trivial kernel for quasi-split groups of low rank 2001 Skip Garibaldi
+ PDF Chat GROUPS OF TYPE<i>E</i><sub>7</sub>OVER ARBITRARY FIELDS 2001 Skip Garibaldi
+ Clifford algebras of hyperbolic involutions 2001 Skip Garibaldi
+ Structurable Algebras and Groups of Type E6 and E7 2001 Skip Garibaldi
+ PDF Chat Involutions and trace forms on exterior powers of a central simple algebra 2001 Skip Garibaldi
Anne Quéguiner-Mathieu
Jean-Pierre Tignol
+ The Rost invariant has trivial kernel for quasi-split groups of low rank 2000 Skip Garibaldi
+ Twisted flag varieties of trialitarjan groups 1999 Skip Garibaldi
+ Isotropic Trialitarian Algebraic Groups 1998 Skip Garibaldi
+ Structurable algebras and groups of type E_6 and E_7 1998 Skip Garibaldi
+ Groups of type E_7 over arbitrary fields 1998 Skip Garibaldi
+ Galois cohomology of special orthogonal groups 1997 Skip Garibaldi
Jean-Pierre Tignol
Adrian R. Wadsworth
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The Book of Involutions 1998 Max-Albert Knus
Alexander Merkurjev
Markus Rost
Jean-Pierre Tignol
44
+ Lie Groups and Lie Algebras : Chapters 1-3 1989 Nicolás Bourbaki
25
+ Lie Groups and Lie Algebras 2002 Nicolás Bourbaki
25
+ Linear algebraic groups 1966 Armand Borel
19
+ PDF Chat Cohomological Invariants in Galois Cohomology 2003 Skip Garibaldi
Alexander Merkurjev
Jean Pierre Serre
19
+ Representations of Algebraic Groups 2007 Jens Carsten Jantzen
17
+ Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque. 1971 Jacques Tits
17
+ Algebraic groups and number theory 1992 В. П. Платонов
Andrei S. Rapinchuk
16
+ Lectures on Chevalley Groups 2016 Robert Steinberg
15
+ Exceptional Lie Algebras 2017 N. Jacobson
14
+ Quadratic and Hermitian Forms 1985 Winfried Scharlau
13
+ Introduction to Quadratic Forms over Fields 2004 T. Y. Lam
13
+ Index Reduction Formulas for Twisted Flag Varieties, II 1998 Alexander Merkurjev
Ivan Panin
Adrian R. Wadsworth
13
+ Cohomological invariants: exceptional groups and spin groups 2009 Skip Garibaldi
13
+ Linear Algebraic Groups 1991 Armand Borel
13
+ Structure and Representations of Jordan Algebras 1968 Nathan Jacobson
13
+ Structurable Algebras and Groups of Type E6 and E7 2001 Skip Garibaldi
12
+ Isotropic Trialitarian Algebraic Groups 1998 Skip Garibaldi
12
+ The algebraic theory of quadratic forms 1973 T. Y. Lam
12
+ Linear Algebraic Groups 1998 T. A. Springer
12
+ PDF Chat The Rost invariant has trivial kernel for quasi-split groups of low rank 2001 Skip Garibaldi
11
+ Octonions, Jordan Algebras and Exceptional Groups 2000 T. A. Springer
Ferdinand D. Veldkamp
11
+ Semisimple Subalgebras of Semisimple Lie Algebras 2020 Mychelle Parker
11
+ The multipliers of similitudes and the Brauer group of homogeneous varieties. 1995 Alexandr S. Merkurjev
Jean-Pierre Tignol
11
+ An Introduction to Nonassociative Algebras 1966 R. D. Schafer
10
+ PDF Chat Strictly regular elements in Freudenthal triple systems 1972 J. C. Ferrar
10
+ Eine Theorie der Freudenthalschen Tripelsysteme, I 1968 Kurt Meyberg
9
+ Introduction to Lie Algebras and Representation Theory 1972 James E. Humphreys
9
+ Strongly inner anisotropic forms of simple algebraic groups 1990 Jacques Tits
9
+ PDF Chat The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras 1969 Kevin McCrimmon
9
+ The Algebraic and Geometric Theory of Quadratic Forms 2008 Richard Elman
Nikita A. Karpenko
Alexander Merkurjev
9
+ PDF Chat Representations of Algebraic Groups 1963 Robert Steinberg
9
+ Almost-classical Lie algebras. II 1982 G.M.D. Hogeweij
9
+ Globally maximal arithmetic groups 2003 Benedict H. Gross
Gabriele Nebe
8
+ Die adjungierten Darstellungen der Chevalley-Gruppen 1984 Gerhard Hiß
8
+ A Classification of Spinors Up to Dimension Twelve 1970 Jun-ichi Igusa
8
+ PDF Chat Restricting the Rost invariant to the center 2008 Skip Garibaldi
Anne Quéguiner-Mathieu
8
+ Characterization of a Class of Cubic Forms 1962 T. A. Springer
8
+ On the structure of parabolic subgroups 1990 Hassan Azad
Michael J. J. Barry
Gary M. Seitz
8
+ PDF Chat SIMPLE GROUPS STABILIZING POLYNOMIALS 2015 Skip Garibaldi
Robert M. Guralnick
8
+ Lower bounds for essential dimensions via orthogonal representations 2005 Vladimir Chernousov
Jean-Pierre Serre
7
+ Index reduction formulas for twisted flag varieties, I. 1996 Alexander Merkurjev
Ivan Panin
Adrian R. Wadsworth
7
+ Invariants Cohomologiques de Rost En Caractéristique PositiveRost's Cohomological Invariants in Positive Characteristic 2000 Philippe Gille
7
+ The kernel of the Rost invariant, Serre's Conjecture II and the Hasse principle for quasi-split groups 3,6 D 4 , E 6 , E 7 2003 Vladimir Chernousov
7
+ PDF Chat A classification of irreducible prehomogeneous vector spaces and their relative invariants 1977 Masahide Sato
T. Kimura
7
+ PDF Chat Automorphisms of classical Lie algebras 1961 Robert Steinberg
7
+ Springer forms and the first Tits construction of exceptional Jordan division algebras 1984 Holger P. Petersson
Michel L. Racine
7
+ PDF Chat Small Degree Representations of Finite Chevalley Groups in Defining Characteristic 2001 Frank Lübeck
7
+ Geometries, the principle of duality, and algebraic groups 2005 Skip Garibaldi
Michael Carr
7
+ PDF Chat A Cayley-Dickson process for a class of structurable algebras 1984 Bruce Allison
John R. Faulkner
6