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Results 1 - 10
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17,709
Algebraic groups
, 2006
"... Algebraic groups are analogues of the classical Lie groups, such as the linear, orthogonal or symplectic groups, over arbitrary algebraically closed fields. Hence they are no longer classical manifolds, but varieties in the sense of algebraic geometry. In particular, they are used in the uniform des ..."
Abstract
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Algebraic groups are analogues of the classical Lie groups, such as the linear, orthogonal or symplectic groups, over arbitrary algebraically closed fields. Hence they are no longer classical manifolds, but varieties in the sense of algebraic geometry. In particular, they are used in the uniform
The maximal subgroups of positive dimension in exceptional algebraic groups
- Mem. Amer. Math. Soc
, 2004
"... algebraic groups ..."
Extensions of Algebraic Groups
, 2004
"... Let G be a connected complex algebraic group and A an abelian connected algebraic group, together with an algebraic action of G on A via group automorphisms. ..."
Abstract
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Cited by 2 (0 self)
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Let G be a connected complex algebraic group and A an abelian connected algebraic group, together with an algebraic action of G on A via group automorphisms.
Algebraic Graph Theory
, 2011
"... Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area is the investiga ..."
Abstract
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Cited by 892 (13 self)
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Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area
Algebraic Groups and Discrete Logarithm
- IN PUBLIC-KEY CRYPTOGRAPHY AND COMPUTATIONAL NUMBER THEORY
, 2001
"... We prove two theorems and raise a few questions concerning discrete logarithms and algebraic groups. ..."
Abstract
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Cited by 5 (0 self)
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We prove two theorems and raise a few questions concerning discrete logarithms and algebraic groups.
Supercharacters and superclasses for algebra groups
"... We study certain sums of irreducible characters and compatible unions of conjugacy classes in finite algebra groups. These groups generalize the unimodular upper triangular groups over a finite field, and the supercharacter theory we develop extends results of Carlos Andre ́ and Ning Yan that were o ..."
Abstract
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Cited by 56 (4 self)
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We study certain sums of irreducible characters and compatible unions of conjugacy classes in finite algebra groups. These groups generalize the unimodular upper triangular groups over a finite field, and the supercharacter theory we develop extends results of Carlos Andre ́ and Ning Yan that were
Topics in the Theory of Algebraic Groups
"... This article is a collection of notes from a series of talks given at the Bernoulli center. The attendees ranged from people who have never studied algebraic groups to experts. Consequently the series began with two introductory talks on the structure of algebraic groups, supplemented by two lecture ..."
Abstract
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Cited by 1 (0 self)
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This article is a collection of notes from a series of talks given at the Bernoulli center. The attendees ranged from people who have never studied algebraic groups to experts. Consequently the series began with two introductory talks on the structure of algebraic groups, supplemented by two
Anti-affine algebraic groups
- J. Algebra
"... Abstract. We say that an algebraic group G over a field is antiaffine if every regular function on G is constant. We obtain a classification of such groups, with applications to the structure of algebraic groups in positive characteristics, and to the construction of many counterexamples to Hilbert’ ..."
Abstract
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Cited by 16 (8 self)
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Abstract. We say that an algebraic group G over a field is antiaffine if every regular function on G is constant. We obtain a classification of such groups, with applications to the structure of algebraic groups in positive characteristics, and to the construction of many counterexamples to Hilbert
Universal classes for algebraic groups
"... Abstract. We exhibit cocycles representing certain classes in the cohomology of the algebraic group GLn with coefficients in the representation Γ ∗ (gl (1) n). These classes ’ existence was anticipated by van der Kallen, and they intervene in the proof that reductive linear algebraic groups have fin ..."
Abstract
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Cited by 10 (3 self)
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Abstract. We exhibit cocycles representing certain classes in the cohomology of the algebraic group GLn with coefficients in the representation Γ ∗ (gl (1) n). These classes ’ existence was anticipated by van der Kallen, and they intervene in the proof that reductive linear algebraic groups have
Twisting commutative algebraic groups
- Journal of Algebra
"... Abstract. If V is a commutative algebraic group over a field k, O is a commutative ring that acts on V, and I is a finitely generated free O-module with a right action of the absolute Galois group of k, then there is a commutative algebraic group I ⊗O V over k, which is a twist of a power of V. Thes ..."
Abstract
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Cited by 12 (4 self)
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Abstract. If V is a commutative algebraic group over a field k, O is a commutative ring that acts on V, and I is a finitely generated free O-module with a right action of the absolute Galois group of k, then there is a commutative algebraic group I ⊗O V over k, which is a twist of a power of V
Results 1 - 10
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17,709
