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SUM FORMULAS FOR REDUCTIVE ALGEBRAIC GROUPS
, 2006
"... Abstract. Let V be a Weyl module either for a reductive algebraic group G or for the corresponding quantum group Uq. If G is defined over a field of positive characteristic p, respectively if q is a primitive l’th root of unity (in an arbitrary field) then V has a Jantzen filtration V = V 0 ⊃ V 1 · ..."
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Abstract. Let V be a Weyl module either for a reductive algebraic group G or for the corresponding quantum group Uq. If G is defined over a field of positive characteristic p, respectively if q is a primitive l’th root of unity (in an arbitrary field) then V has a Jantzen filtration V = V 0 ⊃ V 1
Polar orthogonal representations of real reductive algebraic groups
"... Abstract. We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudoRiemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations of real reductive algebraic ..."
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Abstract. We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudoRiemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations of real reductive
Computing in unipotent and reductive algebraic groups
, 2008
"... The unipotent groups are an important class of algebraic groups. We show that techniques used to compute with finitely generated nilpotent groups carry over to unipotent groups. We concentrate particularly on the maximal unipotent subgroup of a split reductive group and show how this improves compu ..."
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Cited by 2 (1 self)
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The unipotent groups are an important class of algebraic groups. We show that techniques used to compute with finitely generated nilpotent groups carry over to unipotent groups. We concentrate particularly on the maximal unipotent subgroup of a split reductive group and show how this improves
On a class of double cosets in reductive algebraic groups
 INTERNATIONAL MATHEMATICS RESEARCH NOTICES
, 2005
"... We study a class of double coset spaces RA\G1 × G2/RC, where G1 and G2 are connected reductive algebraic groups, and RA and RC are certain spherical subgroups of G1×G2 obtained by “identifying ” Levi factors of parabolic subgroups in G1 and G2. Such double cosets naturally appear in the symplectic ..."
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Cited by 3 (2 self)
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We study a class of double coset spaces RA\G1 × G2/RC, where G1 and G2 are connected reductive algebraic groups, and RA and RC are certain spherical subgroups of G1×G2 obtained by “identifying ” Levi factors of parabolic subgroups in G1 and G2. Such double cosets naturally appear in the symplectic
Quotients by nonreductive algebraic group actions
, 2009
"... This paper is dedicated to Peter Newstead, from whose Tata Institute Lecture Notes [35] I learnt about GIT and moduli spaces some decades ago, with much appreciation for all his help and support over the years since then. 1 ..."
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Cited by 7 (3 self)
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This paper is dedicated to Peter Newstead, from whose Tata Institute Lecture Notes [35] I learnt about GIT and moduli spaces some decades ago, with much appreciation for all his help and support over the years since then. 1
INVARIANTS OF COMPLEX REDUCTIVE ALGEBRAIC GROUPS WITH SIMPLE COMMUTATOR SUBGROUPS
"... Abstract. Let G be a complex connected reductive algebraic group with simple commutator subgroup G′. Consider a finite dimensional representation ρ: G → GL(V) and denote by C[V]G the Calgebra consisting of polynomial functions on V which are invariant under the action of G. The purpose of this pap ..."
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Abstract. Let G be a complex connected reductive algebraic group with simple commutator subgroup G′. Consider a finite dimensional representation ρ: G → GL(V) and denote by C[V]G the Calgebra consisting of polynomial functions on V which are invariant under the action of G. The purpose
A Cohomological Characterization of Parabolic Subgroups of Reductive Algebraic Groups
, 1989
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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 ..."
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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
Results 1  10
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38,711